159816738312 has 240 divisors, whose sum is σ = 568057335120. Its totient is φ = 41510750400.

The previous prime is 159816738311. The next prime is 159816738329. The reversal of 159816738312 is 213837618951.

159816738312 is a `hidden beast` number, since 1 + 5 + 98 + 167 + 383 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (159816738311) 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 59 ways as a sum of consecutive naturals, for example, 120487 + ... + 578057.

It is an arithmetic number, because the mean of its divisors is an integer number (2366905563).

Almost surely, 2^159816738312 is an apocalyptic number.

159816738312 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 159816738312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284028667560).

159816738312 is an abundant number, since it is smaller than the sum of its proper divisors (408240596808).

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

159816738312 is a wasteful number, since it uses less digits than its factorization.

159816738312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457614 (or 457594 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 159816738312 in words is "one hundred fifty-nine billion, eight hundred sixteen million, seven hundred thirty-eight thousand, three hundred twelve".