11312856576 has 600 divisors, whose sum is σ = 41487110280. Its totient is φ = 3051675648.

The previous prime is 11312856563. The next prime is 11312856589. The reversal of 11312856576 is 67565821311.

11312856576 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 28 + 56 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (11312856563) and next prime (11312856589).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38610286 + ... + 38610578.

Almost surely, 2^11312856576 is an apocalyptic number.

11312856576 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 11312856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743555140).

11312856576 is an abundant number, since it is smaller than the sum of its proper divisors (30174253704).

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

11312856576 is an equidigital number, since it uses as much as digits as its factorization.

11312856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11312856576 in words is "eleven billion, three hundred twelve million, eight hundred fifty-six thousand, five hundred seventy-six".