168345353088 has 384 divisors, whose sum is σ = 538047095040. Its totient is φ = 50098176000.

The previous prime is 168345353039. The next prime is 168345353177. The reversal of 168345353088 is 880353543861.

168345353088 is a `hidden beast` number, since 1 + 6 + 83 + 453 + 5 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×168345353088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185606331 + ... + 185607237.

It is an arithmetic number, because the mean of its divisors is an integer number (1401164310).

Almost surely, 2^168345353088 is an apocalyptic number.

168345353088 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 168345353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269023547520).

168345353088 is an abundant number, since it is smaller than the sum of its proper divisors (369701741952).

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

168345353088 is a wasteful number, since it uses less digits than its factorization.

168345353088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 168345353088 in words is "one hundred sixty-eight billion, three hundred forty-five million, three hundred fifty-three thousand, eighty-eight".