162668961292032 has 864 divisors, whose sum is σ = 543274233465600. Its totient is φ = 46391043686400.

The previous prime is 162668961292007. The next prime is 162668961292073. The reversal of 162668961292032 is 230292169866261.

It is a happy number.

162668961292032 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 8 + 9 + 612 + 9 + 2 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×162668961292032² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7084565032 + ... + 7084587992.

Almost surely, 2^{162668961292032} is an apocalyptic number.

162668961292032 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 162668961292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271637116732800).

162668961292032 is an abundant number, since it is smaller than the sum of its proper divisors (380605272173568).

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

162668961292032 is a wasteful number, since it uses less digits than its factorization.

162668961292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23285 (or 23268 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 162668961292032 in words is "one hundred sixty-two trillion, six hundred sixty-eight billion, nine hundred sixty-one million, two hundred ninety-two thousand, thirty-two".