159999832002816 has 1215 divisors, whose sum is σ = 537347532630909. Its totient is φ = 47329101840384.

The previous prime is 159999832002749. The next prime is 159999832002839. The reversal of 159999832002816 is 618200238999951.

The square root of 159999832002816 is 12649104.

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

159999832002816 is a `hidden beast` number, since 1 + 59 + 9 + 9 + 98 + 3 + 200 + 281 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 158364707164416 + 1635124838400 = 12584304^2 + 1278720^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 686694557836 + ... + 686694558068.

Almost surely, 2^{159999832002816} is an apocalyptic number.

159999832002816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

159999832002816 is the 12649104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159999832002816

159999832002816 is an abundant number, since it is smaller than the sum of its proper divisors (377347700628093).

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

159999832002816 is an frugal number, since it uses more digits than its factorization.

159999832002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 159999832002816 in words is "one hundred fifty-nine trillion, nine hundred ninety-nine billion, eight hundred thirty-two million, two thousand, eight hundred sixteen".