353658574864 has 135 divisors (see below), whose sum is σ = 811720040733. Its totient is φ = 148834756224.

The previous prime is 353658574861. The next prime is 353658574889. The reversal of 353658574864 is 468475856353.

The square root of 353658574864 is 594692.

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

It can be written as a sum of positive squares in only one way, i.e., 19796490000 + 333862084864 = 140700^2 + 577808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 353658574796 and 353658574805.

It is not an unprimeable number, because it can be changed into a prime (353658574861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1115642034 + ... + 1115642350.

Almost surely, 2^353658574864 is an apocalyptic number.

353658574864 is the 594692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353658574864

353658574864 is an abundant number, since it is smaller than the sum of its proper divisors (458061465869).

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

353658574864 is an frugal number, since it uses more digits than its factorization.

353658574864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 393 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 64.

Multiplying 353658574864 by its sum of digits (64), we get a square (22634148791296 = 4757536²).

The spelling of 353658574864 in words is "three hundred fifty-three billion, six hundred fifty-eight million, five hundred seventy-four thousand, eight hundred sixty-four".