11115616512 has 576 divisors, whose sum is σ = 41866352640. Its totient is φ = 2521497600.

The previous prime is 11115616483. The next prime is 11115616609. The reversal of 11115616512 is 21561651111.

It is a super-2 number, since 2×11115616512² (a number of 21 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 11115616512.

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 63 ways as a sum of consecutive naturals, for example, 14606212 + ... + 14606972.

It is an arithmetic number, because the mean of its divisors is an integer number (72684640).

Almost surely, 2^11115616512 is an apocalyptic number.

11115616512 is a gapful number since it is divisible by the number (12) 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 11115616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933176320).

11115616512 is an abundant number, since it is smaller than the sum of its proper divisors (30750736128).

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

11115616512 is a wasteful number, since it uses less digits than its factorization.

11115616512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its digits is 1800, while the sum is 30.

The spelling of 11115616512 in words is "eleven billion, one hundred fifteen million, six hundred sixteen thousand, five hundred twelve".