162315112032 has 288 divisors, whose sum is σ = 502926278400. Its totient is φ = 51396871680.

The previous prime is 162315112019. The next prime is 162315112051. The reversal of 162315112032 is 230211513261.

162315112032 is a `hidden beast` number, since 1 + 623 + 1 + 5 + 1 + 1 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×162315112032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 162315111987 and 162315112005.

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 47 ways as a sum of consecutive naturals, for example, 26645307 + ... + 26651397.

It is an arithmetic number, because the mean of its divisors is an integer number (1746271800).

Almost surely, 2^162315112032 is an apocalyptic number.

162315112032 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 162315112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251463139200).

162315112032 is an abundant number, since it is smaller than the sum of its proper divisors (340611166368).

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

162315112032 is a wasteful number, since it uses less digits than its factorization.

162315112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 162315112032 its reverse (230211513261), we get a palindrome (392526625293).

The spelling of 162315112032 in words is "one hundred sixty-two billion, three hundred fifteen million, one hundred twelve thousand, thirty-two".