11124914976 has 192 divisors, whose sum is σ = 37431797760. Its totient is φ = 3148657920.

The previous prime is 11124914963. The next prime is 11124915007. The reversal of 11124914976 is 67941942111.

11124914976 is a `hidden beast` number, since 1 + 112 + 49 + 1 + 497 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 638541 + ... + 655731.

It is an arithmetic number, because the mean of its divisors is an integer number (194957280).

Almost surely, 2^11124914976 is an apocalyptic number.

11124914976 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 11124914976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715898880).

11124914976 is an abundant number, since it is smaller than the sum of its proper divisors (26306882784).

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

11124914976 is a wasteful number, since it uses less digits than its factorization.

11124914976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17324 (or 17310 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 11124914976 in words is "eleven billion, one hundred twenty-four million, nine hundred fourteen thousand, nine hundred seventy-six".