166163644416 has 440 divisors, whose sum is σ = 563915649744. Its totient is φ = 43159388160.

The previous prime is 166163644397. The next prime is 166163644441. The reversal of 166163644416 is 614446361661.

It is a super-2 number, since 2×166163644416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15105785851 + ... + 15105785861.

Almost surely, 2^166163644416 is an apocalyptic number.

166163644416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166163644416 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166163644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957824872).

166163644416 is an abundant number, since it is smaller than the sum of its proper divisors (397752005328).

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

166163644416 is an frugal number, since it uses more digits than its factorization.

166163644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 166163644416 in words is "one hundred sixty-six billion, one hundred sixty-three million, six hundred forty-four thousand, four hundred sixteen".