17968795092864 has 1728 divisors, whose sum is σ = 68216833404720. Its totient is φ = 4520753233920.

The previous prime is 17968795092841. The next prime is 17968795092883. The reversal of 17968795092864 is 46829059786971.

17968795092864 is a `hidden beast` number, since 1 + 7 + 9 + 6 + 87 + 9 + 509 + 28 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56683896034 + ... + 56683896350.

Almost surely, 2^{17968795092864} is an apocalyptic number.

17968795092864 is a gapful number since it is divisible by the number (14) 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 17968795092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34108416702360).

17968795092864 is an abundant number, since it is smaller than the sum of its proper divisors (50248038311856).

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

17968795092864 is a wasteful number, since it uses less digits than its factorization.

17968795092864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 17968795092864 in words is "seventeen trillion, nine hundred sixty-eight billion, seven hundred ninety-five million, ninety-two thousand, eight hundred sixty-four".