166180902804 has 360 divisors, whose sum is σ = 524822608128. Its totient is φ = 45928632960.

The previous prime is 166180902803. The next prime is 166180902817. The reversal of 166180902804 is 408209081661.

166180902804 is a `hidden beast` number, since 1 + 6 + 618 + 0 + 9 + 0 + 28 + 0 + 4 = 666.

166180902804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166180902804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166180902803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72345784 + ... + 72348080.

Almost surely, 2^166180902804 is an apocalyptic number.

166180902804 is a gapful number since it is divisible by the number (14) 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 166180902804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262411304064).

166180902804 is an abundant number, since it is smaller than the sum of its proper divisors (358641705324).

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

166180902804 is an equidigital number, since it uses as much as digits as its factorization.

166180902804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 166180902804 in words is "one hundred sixty-six billion, one hundred eighty million, nine hundred two thousand, eight hundred four".