925193896900 has 405 divisors, whose sum is σ = 2553073918983. Its totient is φ = 290869488000.

The previous prime is 925193896897. The next prime is 925193896933. The reversal of 925193896900 is 9698391529.

The square root of 925193896900 is 961870.

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 238470095556 + 686723801344 = 488334^2 + 828688^2 .

It is a super-2 number, since 2×925193896900² (a number of 25 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, 6127111825 + ... + 6127111975.

Almost surely, 2^925193896900 is an apocalyptic number.

925193896900 is the 961870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925193896900

925193896900 is an abundant number, since it is smaller than the sum of its proper divisors (1627880022083).

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

925193896900 is a wasteful number, since it uses less digits than its factorization.

925193896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 61.

The spelling of 925193896900 in words is "nine hundred twenty-five billion, one hundred ninety-three million, eight hundred ninety-six thousand, nine hundred".