162382511997072 has 480 divisors, whose sum is σ = 514433924978688. Its totient is φ = 47534339026944.

The previous prime is 162382511996981. The next prime is 162382511997113. The reversal of 162382511997072 is 270799115283261.

It is a happy number.

162382511997072 is a `hidden beast` number, since 1 + 6 + 2 + 382 + 5 + 119 + 9 + 70 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1905341053 + ... + 1905426275.

Almost surely, 2^{162382511997072} is an apocalyptic number.

162382511997072 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 162382511997072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257216962489344).

162382511997072 is an abundant number, since it is smaller than the sum of its proper divisors (352051412981616).

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

162382511997072 is a wasteful number, since it uses less digits than its factorization.

162382511997072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86107 (or 86098 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 162382511997072 in words is "one hundred sixty-two trillion, three hundred eighty-two billion, five hundred eleven million, nine hundred ninety-seven thousand, seventy-two".