11007631116 has 72 divisors (see below), whose sum is σ = 27995647680. Its totient is φ = 3646750464.

The previous prime is 11007631093. The next prime is 11007631127. The reversal of 11007631116 is 61113670011.

11007631116 is a `hidden beast` number, since 1 + 10 + 0 + 7 + 631 + 1 + 16 = 666.

It is a super-3 number, since 3×11007631116³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11007631116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6952861 + ... + 6954443.

It is an arithmetic number, because the mean of its divisors is an integer number (388828440).

Almost surely, 2^11007631116 is an apocalyptic number.

It is an amenable number.

11007631116 is an abundant number, since it is smaller than the sum of its proper divisors (16988016564).

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

11007631116 is a wasteful number, since it uses less digits than its factorization.

11007631116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11007631116 in words is "eleven billion, seven million, six hundred thirty-one thousand, one hundred sixteen".