356856890625 has 189 divisors, whose sum is σ = 680596385911. Its totient is φ = 187097850000.

The previous prime is 356856890623. The next prime is 356856890629. The reversal of 356856890625 is 526098658653.

The square root of 356856890625 is 597375.

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

356856890625 is a `hidden beast` number, since 3 + 5 + 6 + 8 + 568 + 9 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 312640894449 + 44215996176 = 559143^2 + 210276^2 .

It is not a de Polignac number, because 356856890625 - 2¹ = 356856890623 is a prime.

It is a super-3 number, since 3×356856890625³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (356856890623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6048421846 + ... + 6048421904.

Almost surely, 2^356856890625 is an apocalyptic number.

356856890625 is the 597375-th square number.

356856890625 is the 298688-th centered octagonal number.

It is an amenable number.

356856890625 is a deficient number, since it is larger than the sum of its proper divisors (323739495286).

356856890625 is an frugal number, since it uses more digits than its factorization.

356856890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 356856890625 in words is "three hundred fifty-six billion, eight hundred fifty-six million, eight hundred ninety thousand, six hundred twenty-five".