352579438656 has 147 divisors (see below), whose sum is σ = 1049376596061. Its totient is φ = 117483727104.

The previous prime is 352579438639. The next prime is 352579438661. The reversal of 352579438656 is 656834975253.

It is a happy number.

The square root of 352579438656 is 593784.

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

352579438656 is a `hidden beast` number, since 3 + 5 + 2 + 579 + 4 + 3 + 8 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42018440256 + 310560998400 = 204984^2 + 557280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 352579438593 and 352579438602.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 128255970 + ... + 128258718.

Almost surely, 2^352579438656 is an apocalyptic number.

352579438656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

352579438656 is the 593784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352579438656

352579438656 is an abundant number, since it is smaller than the sum of its proper divisors (696797157405).

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

352579438656 is an frugal number, since it uses more digits than its factorization.

352579438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 2754 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 352579438656 in words is "three hundred fifty-two billion, five hundred seventy-nine million, four hundred thirty-eight thousand, six hundred fifty-six".