11108413372224 has 112 divisors (see below), whose sum is σ = 33635554133888. Its totient is φ = 3169502189568.

The previous prime is 11108413372207. The next prime is 11108413372241. The reversal of 11108413372224 is 42227331480111.

It is an interprime number because it is at equal distance from previous prime (11108413372207) and next prime (11108413372241).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×11108413372224³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652767 + ... + 6623070.

It is an arithmetic number, because the mean of its divisors is an integer number (300317447624).

Almost surely, 2^{11108413372224} is an apocalyptic number.

11108413372224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11108413372224 is an abundant number, since it is smaller than the sum of its proper divisors (22527140761664).

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

11108413372224 is a wasteful number, since it uses less digits than its factorization.

11108413372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276592 (or 11276582 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11108413372224 in words is "eleven trillion, one hundred eight billion, four hundred thirteen million, three hundred seventy-two thousand, two hundred twenty-four".