166080934656 has 864 divisors, whose sum is σ = 640377024000. Its totient is φ = 41457401856.

The previous prime is 166080934553. The next prime is 166080934661. The reversal of 166080934656 is 656439080661.

166080934656 is a `hidden beast` number, since 16 + 6 + 0 + 80 + 93 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155360490 + ... + 155361558.

Almost surely, 2^166080934656 is an apocalyptic number.

166080934656 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 166080934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320188512000).

166080934656 is an abundant number, since it is smaller than the sum of its proper divisors (474296089344).

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

166080934656 is a wasteful number, since it uses less digits than its factorization.

166080934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 166080934656 in words is "one hundred sixty-six billion, eighty million, nine hundred thirty-four thousand, six hundred fifty-six".