9415385402500 has 405 divisors, whose sum is σ = 26359518089289. Its totient is φ = 2930983440000.

The previous prime is 9415385402477. The next prime is 9415385402513. The reversal of 9415385402500 is 52045835149.

The square root of 9415385402500 is 3068450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7357124609604 + 2058260792896 = 2712402^2 + 1434664^2 .

It is a super-2 number, since 2×9415385402500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11813532102 + ... + 11813532898.

Almost surely, 2^{9415385402500} is an apocalyptic number.

9415385402500 is the 3068450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9415385402500

9415385402500 is an abundant number, since it is smaller than the sum of its proper divisors (16944132686789).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9415385402500 is an equidigital number, since it uses as much as digits as its factorization.

9415385402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 9415385402500 in words is "nine trillion, four hundred fifteen billion, three hundred eighty-five million, four hundred two thousand, five hundred".