162790612992 has 252 divisors, whose sum is σ = 547043802786. Its totient is φ = 46510571520.

The previous prime is 162790612973. The next prime is 162790612993. The reversal of 162790612992 is 299216097261.

162790612992 is a `hidden beast` number, since 1 + 627 + 9 + 0 + 6 + 1 + 2 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104913801216 + 57876811776 = 323904^2 + 240576^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×162790612992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162790612993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3590142 + ... + 3635202.

Almost surely, 2^162790612992 is an apocalyptic number.

162790612992 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 162790612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273521901393).

162790612992 is an abundant number, since it is smaller than the sum of its proper divisors (384253189794).

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

162790612992 is an equidigital number, since it uses as much as digits as its factorization.

162790612992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45107 (or 45073 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 162790612992 in words is "one hundred sixty-two billion, seven hundred ninety million, six hundred twelve thousand, nine hundred ninety-two".