956452704256 has 351 divisors, whose sum is σ = 2326118341869. Its totient is φ = 392069873664.

The previous prime is 956452704223. The next prime is 956452704283. The reversal of 956452704256 is 652407254659.

The square root of 956452704256 is 977984.

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., 855847014400 + 100605689856 = 925120^2 + 317184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 956452704197 and 956452704206.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 16211062755 + ... + 16211062813.

Almost surely, 2^956452704256 is an apocalyptic number.

956452704256 is the 977984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956452704256

956452704256 is an abundant number, since it is smaller than the sum of its proper divisors (1369665637613).

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

956452704256 is an frugal number, since it uses more digits than its factorization.

956452704256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 956452704256 in words is "nine hundred fifty-six billion, four hundred fifty-two million, seven hundred four thousand, two hundred fifty-six".