159654996551232 has 3584 divisors, whose sum is σ = 660685455360000. Its totient is φ = 36604700098560.

The previous prime is 159654996551131. The next prime is 159654996551269. The reversal of 159654996551232 is 232155699456951.

159654996551232 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 5 + 49 + 9 + 6 + 551 + 23 + 2 = 666.

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

Its product of digits (787320000) is a multiple of the sum of its prime divisors (750).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 317405559493 + ... + 317405559995.

It is an arithmetic number, because the mean of its divisors is an integer number (184343040000).

Almost surely, 2^{159654996551232} is an apocalyptic number.

159654996551232 is a gapful number since it is divisible by the number (12) 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 159654996551232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330342727680000).

159654996551232 is an abundant number, since it is smaller than the sum of its proper divisors (501030458808768).

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

159654996551232 is a wasteful number, since it uses less digits than its factorization.

159654996551232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 750 counting only the distinct ones).

The product of its digits is 787320000, while the sum is 72.

The spelling of 159654996551232 in words is "one hundred fifty-nine trillion, six hundred fifty-four billion, nine hundred ninety-six million, five hundred fifty-one thousand, two hundred thirty-two".