168193815552 has 1056 divisors, whose sum is σ = 628386422400. Its totient is φ = 44144787456.

The previous prime is 168193815511. The next prime is 168193815553. The reversal of 168193815552 is 255518391861.

168193815552 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 9 + 3 + 81 + 5 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168193815553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1543062474 + ... + 1543062582.

It is an arithmetic number, because the mean of its divisors is an integer number (595062900).

Almost surely, 2^168193815552 is an apocalyptic number.

168193815552 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 168193815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314193211200).

168193815552 is an abundant number, since it is smaller than the sum of its proper divisors (460192606848).

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

168193815552 is a wasteful number, since it uses less digits than its factorization.

168193815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 168193815552 in words is "one hundred sixty-eight billion, one hundred ninety-three million, eight hundred fifteen thousand, five hundred fifty-two".