11416752256 has 256 divisors, whose sum is σ = 29028384000. Its totient is φ = 4443586560.

The previous prime is 11416752241. The next prime is 11416752287. The reversal of 11416752256 is 65225761411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47372296 + ... + 47372536.

It is an arithmetic number, because the mean of its divisors is an integer number (113392125).

Almost surely, 2^11416752256 is an apocalyptic number.

11416752256 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 11416752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514192000).

11416752256 is an abundant number, since it is smaller than the sum of its proper divisors (17611631744).

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

11416752256 is an equidigital number, since it uses as much as digits as its factorization.

11416752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The spelling of 11416752256 in words is "eleven billion, four hundred sixteen million, seven hundred fifty-two thousand, two hundred fifty-six".