80168526814464 has 2160 divisors, whose sum is σ = 290192205929472. Its totient is φ = 21919113216000.

The previous prime is 80168526814429. The next prime is 80168526814477. The reversal of 80168526814464 is 46441862586108.

It is a happy number.

80168526814464 is a `hidden beast` number, since 8 + 0 + 1 + 6 + 8 + 526 + 8 + 1 + 44 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73347233502 + ... + 73347234594.

Almost surely, 2^{80168526814464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80168526814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145096102964736).

80168526814464 is an abundant number, since it is smaller than the sum of its proper divisors (210023679115008).

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

80168526814464 is a wasteful number, since it uses less digits than its factorization.

80168526814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 80168526814464 in words is "eighty trillion, one hundred sixty-eight billion, five hundred twenty-six million, eight hundred fourteen thousand, four hundred sixty-four".