166752924022656 has 384 divisors, whose sum is σ = 499144673664000. Its totient is φ = 53377171292160.

The previous prime is 166752924022609. The next prime is 166752924022697. The reversal of 166752924022656 is 656220429257661.

166752924022656 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 529 + 2 + 40 + 2 + 2 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 166752924022593 and 166752924022602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11283091875 + ... + 11283106653.

It is an arithmetic number, because the mean of its divisors is an integer number (1299855921000).

Almost surely, 2^{166752924022656} is an apocalyptic number.

166752924022656 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 166752924022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249572336832000).

166752924022656 is an abundant number, since it is smaller than the sum of its proper divisors (332391749641344).

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

166752924022656 is a wasteful number, since it uses less digits than its factorization.

166752924022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17242 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 166752924022656 in words is "one hundred sixty-six trillion, seven hundred fifty-two billion, nine hundred twenty-four million, twenty-two thousand, six hundred fifty-six".