11632577578116 has 48 divisors (see below), whose sum is σ = 31168628924160. Its totient is φ = 3339495954720.

The previous prime is 11632577578099. The next prime is 11632577578129. The reversal of 11632577578116 is 61187577523611.

It is a super-2 number, since 2×11632577578116² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11632577578116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319091906 + ... + 2319096921.

It is an arithmetic number, because the mean of its divisors is an integer number (649346435920).

Almost surely, 2^{11632577578116} is an apocalyptic number.

It is an amenable number.

11632577578116 is an abundant number, since it is smaller than the sum of its proper divisors (19536051346044).

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

11632577578116 is a wasteful number, since it uses less digits than its factorization.

11632577578116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638188864 (or 4638188862 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 60.

The spelling of 11632577578116 in words is "eleven trillion, six hundred thirty-two billion, five hundred seventy-seven million, five hundred seventy-eight thousand, one hundred sixteen".