2256416563656 has 64 divisors (see below), whose sum is σ = 5698183259520. Its totient is φ = 744523315200.

The previous prime is 2256416563637. The next prime is 2256416563699. The reversal of 2256416563656 is 6563656146522.

It is a junction number, because it is equal to n+sod(n) for n = 2256416563596 and 2256416563605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10836381 + ... + 11042643.

It is an arithmetic number, because the mean of its divisors is an integer number (89034113430).

Almost surely, 2^{2256416563656} is an apocalyptic number.

It is an amenable number.

2256416563656 is an abundant number, since it is smaller than the sum of its proper divisors (3441766695864).

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

2256416563656 is a wasteful number, since it uses less digits than its factorization.

2256416563656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210886 (or 210882 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 2256416563656 in words is "two trillion, two hundred fifty-six billion, four hundred sixteen million, five hundred sixty-three thousand, six hundred fifty-six".