111939314688 has 154 divisors (see below), whose sum is σ = 335502730934. Its totient is φ = 37312856064.

The previous prime is 111939314687. The next prime is 111939314699. The reversal of 111939314688 is 886413939111.

111939314688 is a `hidden beast` number, since 1 + 1 + 1 + 93 + 93 + 1 + 468 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73133466624 + 38805848064 = 270432^2 + 196992^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111939314687) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 671520 + ... + 821472.

Almost surely, 2^111939314688 is an apocalyptic number.

111939314688 is a gapful number since it is divisible by the number (18) 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 111939314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167751365467).

111939314688 is an abundant number, since it is smaller than the sum of its proper divisors (223563416246).

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

111939314688 is an frugal number, since it uses more digits than its factorization.

111939314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149991 (or 149958 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 111939314688 in words is "one hundred eleven billion, nine hundred thirty-nine million, three hundred fourteen thousand, six hundred eighty-eight".