916499875600 has 135 divisors (see below), whose sum is σ = 2223583971231. Its totient is φ = 363023328000.

The previous prime is 916499875589. The next prime is 916499875649. The reversal of 916499875600 is 6578994619.

The square root of 916499875600 is 957340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 369941299984 + 546558575616 = 608228^2 + 739296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2891166642 + ... + 2891166958.

Almost surely, 2^916499875600 is an apocalyptic number.

916499875600 is the 957340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916499875600

916499875600 is an abundant number, since it is smaller than the sum of its proper divisors (1307084095631).

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

916499875600 is an equidigital number, since it uses as much as digits as its factorization.

916499875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 916499875600 by its sum of digits (64), we get a square (58655992038400 = 7658720²).

The spelling of 916499875600 in words is "nine hundred sixteen billion, four hundred ninety-nine million, eight hundred seventy-five thousand, six hundred".