2656064113164 has 576 divisors, whose sum is σ = 8944645212160. Its totient is φ = 666667584000.

The previous prime is 2656064113111. The next prime is 2656064113229. The reversal of 2656064113164 is 4613114606562.

2656064113164 is a `hidden beast` number, since 2 + 6 + 5 + 606 + 4 + 1 + 1 + 31 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511073814 + ... + 511079010.

Almost surely, 2^{2656064113164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656064113164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472322606080).

2656064113164 is an abundant number, since it is smaller than the sum of its proper divisors (6288581098996).

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

2656064113164 is a wasteful number, since it uses less digits than its factorization.

2656064113164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2656064113164 in words is "two trillion, six hundred fifty-six billion, sixty-four million, one hundred thirteen thousand, one hundred sixty-four".