166176123408 has 180 divisors, whose sum is σ = 482916665140. Its totient is φ = 53341618176.

The previous prime is 166176123397. The next prime is 166176123413. The reversal of 166176123408 is 804321671661.

166176123408 is a `hidden beast` number, since 1 + 6 + 617 + 6 + 1 + 23 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 64448784 + 166111674624 = 8028^2 + 407568^2 .

It is a super-2 number, since 2×166176123408² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 52436448 + ... + 52439616.

Almost surely, 2^166176123408 is an apocalyptic number.

166176123408 is a gapful number since it is divisible by the number (18) 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 166176123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241458332570).

166176123408 is an abundant number, since it is smaller than the sum of its proper divisors (316740541732).

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

166176123408 is a wasteful number, since it uses less digits than its factorization.

166176123408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 166176123408 in words is "one hundred sixty-six billion, one hundred seventy-six million, one hundred twenty-three thousand, four hundred eight".