168945688971360 has 480 divisors, whose sum is σ = 703395396329472. Its totient is φ = 37370474357760.

The previous prime is 168945688971307. The next prime is 168945688971481. The reversal of 168945688971360 is 63179886549861.

It is a happy number.

168945688971360 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 456 + 8 + 8 + 97 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 168945688971360.

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 79 ways as a sum of consecutive naturals, for example, 27224392 + ... + 32849031.

Almost surely, 2^{168945688971360} is an apocalyptic number.

168945688971360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168945688971360 is an abundant number, since it is smaller than the sum of its proper divisors (534449707358112).

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

168945688971360 is a wasteful number, since it uses less digits than its factorization.

168945688971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60073488 (or 60073471 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 168945688971360 in words is "one hundred sixty-eight trillion, nine hundred forty-five billion, six hundred eighty-eight million, nine hundred seventy-one thousand, three hundred sixty".