159774941664000 has 4320 divisors, whose sum is σ = 689115101875200. Its totient is φ = 36787621478400.

The previous prime is 159774941663999. The next prime is 159774941664007. The reversal of 159774941664000 is 466149477951.

159774941664000 is a `hidden beast` number, since 1 + 5 + 9 + 77 + 494 + 16 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is not an unprimeable number, because it can be changed into a prime (159774941664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2022467615961 + ... + 2022467616039.

Almost surely, 2^{159774941664000} is an apocalyptic number.

159774941664000 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 159774941664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344557550937600).

159774941664000 is an abundant number, since it is smaller than the sum of its proper divisors (529340160211200).

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

159774941664000 is an frugal number, since it uses more digits than its factorization.

159774941664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 159774941664000 in words is "one hundred fifty-nine trillion, seven hundred seventy-four billion, nine hundred forty-one million, six hundred sixty-four thousand".