111323856384000 has 1664 divisors, whose sum is σ = 466606120780800. Its totient is φ = 25959746764800.

The previous prime is 111323856383959. The next prime is 111323856384007. The reversal of 111323856384000 is 483658323111.

It is a happy number.

111323856384000 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 3 + 8 + 5 + 638 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (111323856384007) 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, 3414511699 + ... + 3414544301.

It is an arithmetic number, because the mean of its divisors is an integer number (280412332200).

Almost surely, 2^{111323856384000} is an apocalyptic number.

111323856384000 is a gapful number since it is divisible by the number (10) 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 111323856384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233303060390400).

111323856384000 is an abundant number, since it is smaller than the sum of its proper divisors (355282264396800).

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

111323856384000 is a wasteful number, since it uses less digits than its factorization.

111323856384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32683 (or 32645 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 111323856384000 in words is "one hundred eleven trillion, three hundred twenty-three billion, eight hundred fifty-six million, three hundred eighty-four thousand".