166314969000 has 384 divisors, whose sum is σ = 583503298560. Its totient is φ = 42681600000.

The previous prime is 166314968993. The next prime is 166314969043. The reversal of 166314969000 is 969413661.

166314969000 is a `hidden beast` number, since 1 + 6 + 631 + 4 + 9 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×166314969000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53287440 + ... + 53290560.

It is an arithmetic number, because the mean of its divisors is an integer number (1519539840).

Almost surely, 2^166314969000 is an apocalyptic number.

166314969000 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 166314969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291751649280).

166314969000 is an abundant number, since it is smaller than the sum of its proper divisors (417188329560).

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

166314969000 is a wasteful number, since it uses less digits than its factorization.

166314969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 166314969000 in words is "one hundred sixty-six billion, three hundred fourteen million, nine hundred sixty-nine thousand".