159345857717904 has 1440 divisors, whose sum is σ = 552745705760640. Its totient is φ = 39048040120320.

The previous prime is 159345857717899. The next prime is 159345857717927. The reversal of 159345857717904 is 409717758543951.

159345857717904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×159345857717904² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84893903014 + ... + 84893904890.

It is an arithmetic number, because the mean of its divisors is an integer number (383851184556).

Almost surely, 2^{159345857717904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159345857717904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276372852880320).

159345857717904 is an abundant number, since it is smaller than the sum of its proper divisors (393399848042736).

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

159345857717904 is a wasteful number, since it uses less digits than its factorization.

159345857717904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 75.

The spelling of 159345857717904 in words is "one hundred fifty-nine trillion, three hundred forty-five billion, eight hundred fifty-seven million, seven hundred seventeen thousand, nine hundred four".