168112357920 has 432 divisors, whose sum is σ = 623382806592. Its totient is φ = 41236715520.

The previous prime is 168112357901. The next prime is 168112357951. The reversal of 168112357920 is 29753211861.

168112357920 is a `hidden beast` number, since 1 + 68 + 1 + 12 + 3 + 579 + 2 + 0 = 666.

168112357920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80551117 + ... + 80553203.

It is an arithmetic number, because the mean of its divisors is an integer number (1443015756).

Almost surely, 2^168112357920 is an apocalyptic number.

168112357920 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 168112357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311691403296).

168112357920 is an abundant number, since it is smaller than the sum of its proper divisors (455270448672).

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

168112357920 is a wasteful number, since it uses less digits than its factorization.

168112357920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 168112357920 in words is "one hundred sixty-eight billion, one hundred twelve million, three hundred fifty-seven thousand, nine hundred twenty".