166084491456 has 336 divisors, whose sum is σ = 571405816800. Its totient is φ = 45564788736.

The previous prime is 166084491431. The next prime is 166084491497. The reversal of 166084491456 is 654194480661.

166084491456 is a `hidden beast` number, since 1 + 6 + 60 + 8 + 44 + 91 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384290 + ... + 2452958.

It is an arithmetic number, because the mean of its divisors is an integer number (1700612550).

Almost surely, 2^166084491456 is an apocalyptic number.

166084491456 is a gapful number since it is divisible by the number (16) 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 166084491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285702908400).

166084491456 is an abundant number, since it is smaller than the sum of its proper divisors (405321325344).

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

166084491456 is a wasteful number, since it uses less digits than its factorization.

166084491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68736 (or 68723 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 166084491456 in words is "one hundred sixty-six billion, eighty-four million, four hundred ninety-one thousand, four hundred fifty-six".