11118215872512 has 960 divisors, whose sum is σ = 40135747814400. Its totient is φ = 3008151945216.

The previous prime is 11118215872501. The next prime is 11118215872529. The reversal of 11118215872512 is 21527851281111.

11118215872512 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 82 + 1 + 58 + 7 + 2 + 512 = 666.

It is a super-2 number, since 2×11118215872512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4765629298 + ... + 4765631630.

It is an arithmetic number, because the mean of its divisors is an integer number (41808070640).

Almost surely, 2^{11118215872512} is an apocalyptic number.

11118215872512 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 11118215872512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067873907200).

11118215872512 is an abundant number, since it is smaller than the sum of its proper divisors (29017531941888).

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

11118215872512 is an frugal number, since it uses more digits than its factorization.

11118215872512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2364 counting only the distinct ones).

The product of its digits is 89600, while the sum is 45.

The spelling of 11118215872512 in words is "eleven trillion, one hundred eighteen billion, two hundred fifteen million, eight hundred seventy-two thousand, five hundred twelve".