163900493568000 has 6912 divisors, whose sum is σ = 785256759705600. Its totient is φ = 32590843084800.

The previous prime is 163900493567999. The next prime is 163900493568073. The reversal of 163900493568000 is 865394009361.

163900493568000 is a `hidden beast` number, since 1 + 6 + 3 + 90 + 0 + 493 + 5 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2074689791961 + ... + 2074689792039.

It is an arithmetic number, because the mean of its divisors is an integer number (113607748800).

Almost surely, 2^{163900493568000} is an apocalyptic number.

163900493568000 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 163900493568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392628379852800).

163900493568000 is an abundant number, since it is smaller than the sum of its proper divisors (621356266137600).

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

163900493568000 is a wasteful number, since it uses less digits than its factorization.

163900493568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 163900493568000 in words is "one hundred sixty-three trillion, nine hundred billion, four hundred ninety-three million, five hundred sixty-eight thousand".