4791831664256 has 384 divisors, whose sum is σ = 12364273797120. Its totient is φ = 1831624704000.

The previous prime is 4791831664253. The next prime is 4791831664261. The reversal of 4791831664256 is 6524661381974.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (4791831664253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2302657136 + ... + 2302659216.

It is an arithmetic number, because the mean of its divisors is an integer number (32198629680).

Almost surely, 2^{4791831664256} 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 4791831664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182136898560).

4791831664256 is an abundant number, since it is smaller than the sum of its proper divisors (7572442132864).

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

4791831664256 is a wasteful number, since it uses less digits than its factorization.

4791831664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3045 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 62.

The spelling of 4791831664256 in words is "four trillion, seven hundred ninety-one billion, eight hundred thirty-one million, six hundred sixty-four thousand, two hundred fifty-six".