100163350044576 has 576 divisors, whose sum is σ = 390730129171200. Its totient is φ = 23554214166528.

The previous prime is 100163350044551. The next prime is 100163350044587. The reversal of 100163350044576 is 675440053361001.

100163350044576 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 3 + 35 + 0 + 0 + 44 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2548990 + ... + 14381378.

It is an arithmetic number, because the mean of its divisors is an integer number (678350918700).

Almost surely, 2^{100163350044576} is an apocalyptic number.

100163350044576 is a gapful number since it is divisible by the number (16) 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 100163350044576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195365064585600).

100163350044576 is an abundant number, since it is smaller than the sum of its proper divisors (290566779126624).

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

100163350044576 is a wasteful number, since it uses less digits than its factorization.

100163350044576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832461 (or 11832450 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 100163350044576 in words is "one hundred trillion, one hundred sixty-three billion, three hundred fifty million, forty-four thousand, five hundred seventy-six".