166034704036320 has 864 divisors, whose sum is σ = 680522300430336. Its totient is φ = 36717795072000.

The previous prime is 166034704036273. The next prime is 166034704036451. The reversal of 166034704036320 is 23630407430661.

166034704036320 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 3 + 4 + 7 + 0 + 4 + 0 + 3 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14329389567 + ... + 14329401153.

It is an arithmetic number, because the mean of its divisors is an integer number (787641551424).

Almost surely, 2^{166034704036320} is an apocalyptic number.

166034704036320 is a gapful number since it is divisible by the number (10) 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 166034704036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340261150215168).

166034704036320 is an abundant number, since it is smaller than the sum of its proper divisors (514487596394016).

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

166034704036320 is a wasteful number, since it uses less digits than its factorization.

166034704036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18204 (or 18186 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 166034704036320 in words is "one hundred sixty-six trillion, thirty-four billion, seven hundred four million, thirty-six thousand, three hundred twenty".