166942923264 has 400 divisors, whose sum is σ = 559982408832. Its totient is φ = 49130053632.

The previous prime is 166942923221. The next prime is 166942923299. The reversal of 166942923264 is 462329249661.

166942923264 is a `hidden beast` number, since 1 + 6 + 6 + 94 + 292 + 3 + 264 = 666.

It is a super-3 number, since 3×166942923264³ (a number of 35 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 166942923264.

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 39 ways as a sum of consecutive naturals, for example, 12393397 + ... + 12406859.

Almost surely, 2^166942923264 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 166942923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279991204416).

166942923264 is an abundant number, since it is smaller than the sum of its proper divisors (393039485568).

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

166942923264 is a wasteful number, since it uses less digits than its factorization.

166942923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529 (or 13504 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 166942923264 in words is "one hundred sixty-six billion, nine hundred forty-two million, nine hundred twenty-three thousand, two hundred sixty-four".