Euler was a member of numerous scientific academies, including the St. Petersburg Academy of Sciences, the Berlin Academy of Sciences, the Royal Society of London, and the French Academy of Sciences. His membership in these prestigious institutions reflected his widespread recognition and influence.

The mathematical constant 'e', approximately equal to 2.71828, is often referred to as Euler's number in recognition of his extensive work with exponential and logarithmic functions.

Euler's work on the Königsberg bridge problem laid the foundation for graph theory and the concept of Eulerian circuits.

Euler's formula, relating complex exponentials to trigonometric functions, is one of the most beautiful and important results in mathematics. It has profound implications for complex analysis, Fourier analysis, and quantum mechanics.

Euler's work continues to influence mathematicians, scientists, and engineers today. His contributions have shaped the development of numerous fields, and his name is associated with many fundamental concepts and theorems.