158961764864016 has 135 divisors (see below), whose sum is σ = 446635014809373. Its totient is φ = 52778113384320.

The previous prime is 158961764864009. The next prime is 158961764864051. The reversal of 158961764864016 is 610468467169851.

The square root of 158961764864016 is 12608004.

It is a perfect power (a square), and thus also a powerful number.

158961764864016 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 6 + 176 + 48 + 6 + 401 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40419840675600 + 118541924188416 = 6357660^2 + 10887696^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41001227070 + ... + 41001230946.

Almost surely, 2^{158961764864016} is an apocalyptic number.

158961764864016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

158961764864016 is the 12608004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158961764864016

158961764864016 is an abundant number, since it is smaller than the sum of its proper divisors (287673249945357).

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

158961764864016 is an frugal number, since it uses more digits than its factorization.

158961764864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 158961764864016 in words is "one hundred fifty-eight trillion, nine hundred sixty-one billion, seven hundred sixty-four million, eight hundred sixty-four thousand, sixteen".