11513246976 has 648 divisors, whose sum is σ = 43038987264. Its totient is φ = 2926264320.

The previous prime is 11513246959. The next prime is 11513246981. The reversal of 11513246976 is 67964231511.

11513246976 is a `hidden beast` number, since 1 + 1 + 513 + 2 + 4 + 69 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90655425 + ... + 90655551.

Almost surely, 2^11513246976 is an apocalyptic number.

11513246976 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 11513246976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519493632).

11513246976 is an abundant number, since it is smaller than the sum of its proper divisors (31525740288).

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

11513246976 is a wasteful number, since it uses less digits than its factorization.

11513246976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11513246976 in words is "eleven billion, five hundred thirteen million, two hundred forty-six thousand, nine hundred seventy-six".