4964325584256 has 896 divisors, whose sum is σ = 15851061642240. Its totient is φ = 1545381089280.

The previous prime is 4964325584243. The next prime is 4964325584381. The reversal of 4964325584256 is 6524855234694.

4964325584256 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 3 + 25 + 584 + 25 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4964325584193 and 4964325584202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13309183686 + ... + 13309184058.

Almost surely, 2^{4964325584256} 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 4964325584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925530821120).

4964325584256 is an abundant number, since it is smaller than the sum of its proper divisors (10886736057984).

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

4964325584256 is a wasteful number, since it uses less digits than its factorization.

4964325584256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 4964325584256 in words is "four trillion, nine hundred sixty-four billion, three hundred twenty-five million, five hundred eighty-four thousand, two hundred fifty-six".