111100091172096 has 1152 divisors, whose sum is σ = 353797464384000. Its totient is φ = 30821533876224.

The previous prime is 111100091172047. The next prime is 111100091172097. The reversal of 111100091172096 is 690271190001111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100091172097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67868106190 + ... + 67868107826.

It is an arithmetic number, because the mean of its divisors is an integer number (307115854500).

Almost surely, 2^{111100091172096} is an apocalyptic number.

111100091172096 is a gapful number since it is divisible by the number (16) 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 111100091172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176898732192000).

111100091172096 is an abundant number, since it is smaller than the sum of its proper divisors (242697373211904).

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

111100091172096 is a wasteful number, since it uses less digits than its factorization.

111100091172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 39.

The spelling of 111100091172096 in words is "one hundred eleven trillion, one hundred billion, ninety-one million, one hundred seventy-two thousand, ninety-six".