168057108191232 has 1512 divisors, whose sum is σ = 557742840536700. Its totient is φ = 50578030264320.

The previous prime is 168057108191213. The next prime is 168057108191267. The reversal of 168057108191232 is 232191801750861.

168057108191232 is a `hidden beast` number, since 1 + 68 + 0 + 571 + 0 + 8 + 1 + 9 + 1 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×168057108191232² (a number of 29 digits) contains 22 as substring.

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 125 ways as a sum of consecutive naturals, for example, 938866526119 + ... + 938866526297.

Almost surely, 2^{168057108191232} is an apocalyptic number.

168057108191232 is a gapful number since it is divisible by the number (12) 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 168057108191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278871420268350).

168057108191232 is an abundant number, since it is smaller than the sum of its proper divisors (389685732345468).

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

168057108191232 is an frugal number, since it uses more digits than its factorization.

168057108191232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 168057108191232 in words is "one hundred sixty-eight trillion, fifty-seven billion, one hundred eight million, one hundred ninety-one thousand, two hundred thirty-two".