166264068096 has 384 divisors, whose sum is σ = 569929651200. Its totient is φ = 47495061504.

The previous prime is 166264068079. The next prime is 166264068149. The reversal of 166264068096 is 690860462661.

166264068096 is a `hidden beast` number, since 1 + 6 + 626 + 4 + 0 + 6 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31350181 + ... + 31355483.

It is an arithmetic number, because the mean of its divisors is an integer number (1484191800).

Almost surely, 2^166264068096 is an apocalyptic number.

166264068096 is a gapful number since it is divisible by the number (16) 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 166264068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284964825600).

166264068096 is an abundant number, since it is smaller than the sum of its proper divisors (403665583104).

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

166264068096 is an frugal number, since it uses more digits than its factorization.

166264068096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 166264068096 in words is "one hundred sixty-six billion, two hundred sixty-four million, sixty-eight thousand, ninety-six".