162531599328 has 192 divisors, whose sum is σ = 550654755840. Its totient is φ = 45676224000.

The previous prime is 162531599317. The next prime is 162531599353. The reversal of 162531599328 is 823995135261.

162531599328 is a `hidden beast` number, since 1 + 6 + 25 + 3 + 1 + 599 + 3 + 28 = 666.

162531599328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148653 + ... + 589203.

It is an arithmetic number, because the mean of its divisors is an integer number (2867993520).

Almost surely, 2^162531599328 is an apocalyptic number.

162531599328 is a gapful number since it is divisible by the number (18) 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 162531599328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275327377920).

162531599328 is an abundant number, since it is smaller than the sum of its proper divisors (388123156512).

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

162531599328 is a wasteful number, since it uses less digits than its factorization.

162531599328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440638 (or 440624 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 162531599328 in words is "one hundred sixty-two billion, five hundred thirty-one million, five hundred ninety-nine thousand, three hundred twenty-eight".