2256118465328 has 160 divisors (see below), whose sum is σ = 5406730530432. Its totient is φ = 888097996800.

The previous prime is 2256118465327. The next prime is 2256118465331. The reversal of 2256118465328 is 8235648116522.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2256118465328.

It is not an unprimeable number, because it can be changed into a prime (2256118465327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671262368 + ... + 671265728.

Almost surely, 2^{2256118465328} is an apocalyptic number.

2256118465328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256118465328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703365265216).

2256118465328 is an abundant number, since it is smaller than the sum of its proper divisors (3150612065104).

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

2256118465328 is a wasteful number, since it uses less digits than its factorization.

2256118465328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5537 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 53.

The spelling of 2256118465328 in words is "two trillion, two hundred fifty-six billion, one hundred eighteen million, four hundred sixty-five thousand, three hundred twenty-eight".