166808560464 has 1200 divisors, whose sum is σ = 640613664768. Its totient is φ = 41479796736.

The previous prime is 166808560433. The next prime is 166808560481. The reversal of 166808560464 is 464065808661.

166808560464 is a `hidden beast` number, since 16 + 6 + 8 + 0 + 8 + 560 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 166808560464.

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, 1313453169 + ... + 1313453295.

Almost surely, 2^166808560464 is an apocalyptic number.

166808560464 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 166808560464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320306832384).

166808560464 is an abundant number, since it is smaller than the sum of its proper divisors (473805104304).

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

166808560464 is a wasteful number, since it uses less digits than its factorization.

166808560464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 166808560464 in words is "one hundred sixty-six billion, eight hundred eight million, five hundred sixty thousand, four hundred sixty-four".