159399764001 has 99 divisors (see below), whose sum is σ = 251809407507. Its totient is φ = 100898207280.

The previous prime is 159399763979. The next prime is 159399764021. The reversal of 159399764001 is 100467993951.

The square root of 159399764001 is 399249.

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

159399764001 is a `hidden beast` number, since 1 + 593 + 9 + 9 + 7 + 6 + 40 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114910830225 + 44488933776 = 338985^2 + 210924^2 .

It is not a de Polignac number, because 159399764001 - 2⁹ = 159399763489 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (159399764021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3007542691 + ... + 3007542743.

Almost surely, 2^159399764001 is an apocalyptic number.

159399764001 is the 399249-th square number.

159399764001 is the 199625-th centered octagonal number.

It is an amenable number.

159399764001 is a deficient number, since it is larger than the sum of its proper divisors (92409643506).

159399764001 is an frugal number, since it uses more digits than its factorization.

159399764001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 159399764001 in words is "one hundred fifty-nine billion, three hundred ninety-nine million, seven hundred sixty-four thousand, one".