456055615661056 has 44 divisors (see below), whose sum is σ = 912851387366380. Its totient is φ = 227731282329600.

The previous prime is 456055615660949. The next prime is 456055615661119. The reversal of 456055615661056 is 650166516550654.

It can be written as a sum of positive squares in 2 ways, for example, as 67416973894656 + 388638641766400 = 8210784^2 + 19713920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456055615660985 and 456055615661003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288787845 + ... + 290362756.

It is an arithmetic number, because the mean of its divisors is an integer number (20746622440145).

Almost surely, 2^{456055615661056} is an apocalyptic number.

It is an amenable number.

456055615661056 is an abundant number, since it is smaller than the sum of its proper divisors (456795771705324).

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

456055615661056 is an equidigital number, since it uses as much as digits as its factorization.

456055615661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579151390 (or 579151372 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 61.

The spelling of 456055615661056 in words is "four hundred fifty-six trillion, fifty-five billion, six hundred fifteen million, six hundred sixty-one thousand, fifty-six".