166451560704 has 864 divisors, whose sum is σ = 597117480960. Its totient is φ = 43893964800.

The previous prime is 166451560663. The next prime is 166451560757. The reversal of 166451560704 is 407065154661.

166451560704 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 515 + 60 + 70 + 4 = 666.

It is a super-2 number, since 2×166451560704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166451560704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439185987 + ... + 439186365.

Almost surely, 2^166451560704 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 166451560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298558740480).

166451560704 is an abundant number, since it is smaller than the sum of its proper divisors (430665920256).

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

166451560704 is a wasteful number, since it uses less digits than its factorization.

166451560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 166451560704 in words is "one hundred sixty-six billion, four hundred fifty-one million, five hundred sixty thousand, seven hundred four".