150015942864 has 160 divisors (see below), whose sum is σ = 443255379840. Its totient is φ = 48555307008.

The previous prime is 150015942833. The next prime is 150015942871. The reversal of 150015942864 is 468249510051.

150015942864 is a `hidden beast` number, since 1 + 50 + 0 + 1 + 594 + 2 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×150015942864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2187139 + ... + 2254685.

It is an arithmetic number, because the mean of its divisors is an integer number (2770346124).

Almost surely, 2^150015942864 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 150015942864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221627689920).

150015942864 is an abundant number, since it is smaller than the sum of its proper divisors (293239436976).

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

150015942864 is a wasteful number, since it uses less digits than its factorization.

150015942864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67714 (or 67702 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 150015942864 in words is "one hundred fifty billion, fifteen million, nine hundred forty-two thousand, eight hundred sixty-four".