111379372816320 has 896 divisors, whose sum is σ = 461965413888000. Its totient is φ = 24728434458624.

The previous prime is 111379372816319. The next prime is 111379372816337. The reversal of 111379372816320 is 23618273973111.

111379372816320 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 7 + 9 + 37 + 281 + 6 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1340376694 + ... + 1340459786.

Almost surely, 2^{111379372816320} is an apocalyptic number.

111379372816320 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 111379372816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230982706944000).

111379372816320 is an abundant number, since it is smaller than the sum of its proper divisors (350586041071680).

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

111379372816320 is a wasteful number, since it uses less digits than its factorization.

111379372816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83762 (or 83746 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 111379372816320 in words is "one hundred eleven trillion, three hundred seventy-nine billion, three hundred seventy-two million, eight hundred sixteen thousand, three hundred twenty".