159129847172352 has 288 divisors, whose sum is σ = 491820981471232. Its totient is φ = 44734486781952.

The previous prime is 159129847172279. The next prime is 159129847172357. The reversal of 159129847172352 is 253271748921951.

It is a super-2 number, since 2×159129847172352² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159129847172357) 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 31 ways as a sum of consecutive naturals, for example, 306984813 + ... + 307502739.

Almost surely, 2^{159129847172352} is an apocalyptic number.

159129847172352 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 159129847172352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245910490735616).

159129847172352 is an abundant number, since it is smaller than the sum of its proper divisors (332691134298880).

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

159129847172352 is an equidigital number, since it uses as much as digits as its factorization.

159129847172352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518873 (or 518859 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 66.

The spelling of 159129847172352 in words is "one hundred fifty-nine trillion, one hundred twenty-nine billion, eight hundred forty-seven million, one hundred seventy-two thousand, three hundred fifty-two".