2256466631616 has 392 divisors, whose sum is σ = 7182802957200. Its totient is φ = 700870164480.

The previous prime is 2256466631609. The next prime is 2256466631621. The reversal of 2256466631616 is 6161366646522.

2256466631616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54053440 + ... + 54095168.

Almost surely, 2^{2256466631616} 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 2256466631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591401478600).

2256466631616 is an abundant number, since it is smaller than the sum of its proper divisors (4926336325584).

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

2256466631616 is an equidigital number, since it uses as much as digits as its factorization.

2256466631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41839 (or 41814 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 2256466631616 in words is "two trillion, two hundred fifty-six billion, four hundred sixty-six million, six hundred thirty-one thousand, six hundred sixteen".