166322268000 has 1152 divisors, whose sum is σ = 718753875840. Its totient is φ = 37236326400.

The previous prime is 166322267999. The next prime is 166322268017. The reversal of 166322268000 is 862223661.

166322268000 is a `hidden beast` number, since 16 + 632 + 2 + 2 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280475704 + ... + 280476296.

It is an arithmetic number, because the mean of its divisors is an integer number (623918295).

Almost surely, 2^166322268000 is an apocalyptic number.

166322268000 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 166322268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359376937920).

166322268000 is an abundant number, since it is smaller than the sum of its proper divisors (552431607840).

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

166322268000 is a wasteful number, since it uses less digits than its factorization.

166322268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 166322268000 in words is "one hundred sixty-six billion, three hundred twenty-two million, two hundred sixty-eight thousand".