11674688256 has 864 divisors, whose sum is σ = 45916416000. Its totient is φ = 2817884160.

The previous prime is 11674688227. The next prime is 11674688327. The reversal of 11674688256 is 65288647611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147780825 + ... + 147780903.

It is an arithmetic number, because the mean of its divisors is an integer number (53144000).

Almost surely, 2^11674688256 is an apocalyptic number.

11674688256 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 11674688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

11674688256 is an abundant number, since it is smaller than the sum of its proper divisors (34241727744).

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

11674688256 is a wasteful number, since it uses less digits than its factorization.

11674688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 11674688256 in words is "eleven billion, six hundred seventy-four million, six hundred eighty-eight thousand, two hundred fifty-six".