108352359255168 has 1536 divisors, whose sum is σ = 399482954956800. Its totient is φ = 28288555499520.

The previous prime is 108352359255131. The next prime is 108352359255229. The reversal of 108352359255168 is 861552953253801.

108352359255168 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 5 + 23 + 5 + 92 + 5 + 516 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126432157396 + ... + 126432158252.

It is an arithmetic number, because the mean of its divisors is an integer number (260080048800).

Almost surely, 2^{108352359255168} is an apocalyptic number.

108352359255168 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 108352359255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199741477478400).

108352359255168 is an abundant number, since it is smaller than the sum of its proper divisors (291130595701632).

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

108352359255168 is a wasteful number, since it uses less digits than its factorization.

108352359255168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 108352359255168 in words is "one hundred eight trillion, three hundred fifty-two billion, three hundred fifty-nine million, two hundred fifty-five thousand, one hundred sixty-eight".