159953603364 has 135 divisors (see below), whose sum is σ = 444534397153. Its totient is φ = 50143128192.

The previous prime is 159953603351. The next prime is 159953603387. The reversal of 159953603364 is 463306359951.

The square root of 159953603364 is 399942.

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

159953603364 is a `hidden beast` number, since 15 + 9 + 9 + 536 + 0 + 33 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124531352100 + 35422251264 = 352890^2 + 188208^2 .

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 a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 159953603364.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122381599 + ... + 122382905.

Almost surely, 2^159953603364 is an apocalyptic number.

159953603364 is the 399942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159953603364

159953603364 is an abundant number, since it is smaller than the sum of its proper divisors (284580793789).

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

159953603364 is an equidigital number, since it uses as much as digits as its factorization.

159953603364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 159953603364 in words is "one hundred fifty-nine billion, nine hundred fifty-three million, six hundred three thousand, three hundred sixty-four".