523735900416 has 81 divisors (see below), whose sum is σ = 1510159879501. Its totient is φ = 174567054336.

The previous prime is 523735900411. The next prime is 523735900459. The reversal of 523735900416 is 614009537325.

The square root of 523735900416 is 723696.

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

523735900416 is a `hidden beast` number, since 52 + 3 + 7 + 3 + 590 + 0 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15515193600 + 508220706816 = 124560^2 + 712896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (523735900411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34729870 + ... + 34744946.

Almost surely, 2^523735900416 is an apocalyptic number.

523735900416 is the 723696-th square number.

It is an amenable number.

523735900416 is an abundant number, since it is smaller than the sum of its proper divisors (986423979085).

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

523735900416 is an frugal number, since it uses more digits than its factorization.

523735900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30176 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 523735900416 in words is "five hundred twenty-three billion, seven hundred thirty-five million, nine hundred thousand, four hundred sixteen".