11416772256 has 144 divisors (see below), whose sum is σ = 31637837952. Its totient is φ = 3603102720.

The previous prime is 11416772221. The next prime is 11416772327. The reversal of 11416772256 is 65227761411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4334716 + ... + 4337348.

It is an arithmetic number, because the mean of its divisors is an integer number (219707208).

Almost surely, 2^11416772256 is an apocalyptic number.

11416772256 is a gapful number since it is divisible by the number (16) 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 11416772256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818918976).

11416772256 is an abundant number, since it is smaller than the sum of its proper divisors (20221065696).

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

11416772256 is a wasteful number, since it uses less digits than its factorization.

11416772256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2716 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 11416772256 in words is "eleven billion, four hundred sixteen million, seven hundred seventy-two thousand, two hundred fifty-six".