166211813376 has 714 divisors, whose sum is σ = 587941514712. Its totient is φ = 46820229120.

The previous prime is 166211813359. The next prime is 166211813393. The reversal of 166211813376 is 673318112661.

166211813376 is a `hidden beast` number, since 1 + 6 + 621 + 1 + 8 + 13 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166211813359) and next prime (166211813393).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2341011421 + ... + 2341011491.

Almost surely, 2^166211813376 is an apocalyptic number.

166211813376 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 166211813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293970757356).

166211813376 is an abundant number, since it is smaller than the sum of its proper divisors (421729701336).

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

166211813376 is an frugal number, since it uses more digits than its factorization.

166211813376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 166211813376 in words is "one hundred sixty-six billion, two hundred eleven million, eight hundred thirteen thousand, three hundred seventy-six".