168178233468960 has 2304 divisors, whose sum is σ = 721398774620160. Its totient is φ = 35050833838080.

The previous prime is 168178233468941. The next prime is 168178233468961. The reversal of 168178233468960 is 69864332871861.

168178233468960 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 78 + 2 + 3 + 3 + 468 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (168178233468961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 154717785537 + ... + 154717786623.

It is an arithmetic number, because the mean of its divisors is an integer number (313107107040).

Almost surely, 2^{168178233468960} is an apocalyptic number.

168178233468960 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 168178233468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360699387310080).

168178233468960 is an abundant number, since it is smaller than the sum of its proper divisors (553220541151200).

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

168178233468960 is a wasteful number, since it uses less digits than its factorization.

168178233468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 168178233468960 in words is "one hundred sixty-eight trillion, one hundred seventy-eight billion, two hundred thirty-three million, four hundred sixty-eight thousand, nine hundred sixty".