163094900093664 has 768 divisors, whose sum is σ = 569388498223104. Its totient is φ = 39618896486400.

The previous prime is 163094900093659. The next prime is 163094900093683. The reversal of 163094900093664 is 466390009490361.

163094900093664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 163094900093598 and 163094900093607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8478178254 + ... + 8478197490.

It is an arithmetic number, because the mean of its divisors is an integer number (741391273728).

Almost surely, 2^{163094900093664} is an apocalyptic number.

163094900093664 is a gapful number since it is divisible by the number (14) 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 163094900093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284694249111552).

163094900093664 is an abundant number, since it is smaller than the sum of its proper divisors (406293598129440).

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

163094900093664 is a wasteful number, since it uses less digits than its factorization.

163094900093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20399 (or 20391 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 60.

The spelling of 163094900093664 in words is "one hundred sixty-three trillion, ninety-four billion, nine hundred million, ninety-three thousand, six hundred sixty-four".