159158400816 has 40 divisors (see below), whose sum is σ = 411783197760. Its totient is φ = 52972284736.

The previous prime is 159158400781. The next prime is 159158400827. The reversal of 159158400816 is 618004851951.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 2484150 + ... + 2547413.

It is an arithmetic number, because the mean of its divisors is an integer number (10294579944).

Almost surely, 2^159158400816 is an apocalyptic number.

159158400816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

159158400816 is an abundant number, since it is smaller than the sum of its proper divisors (252624796944).

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

159158400816 is a wasteful number, since it uses less digits than its factorization.

159158400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032233 (or 5032227 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 159158400816 in words is "one hundred fifty-nine billion, one hundred fifty-eight million, four hundred thousand, eight hundred sixteen".