166218144768 has 352 divisors, whose sum is σ = 532185937920. Its totient is φ = 50945310720.

The previous prime is 166218144683. The next prime is 166218144773. The reversal of 166218144768 is 867441812661.

166218144768 is a `hidden beast` number, since 1 + 6 + 62 + 1 + 81 + 447 + 68 = 666.

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, 111780121 + ... + 111781607.

Almost surely, 2^166218144768 is an apocalyptic number.

166218144768 is a gapful number since it is divisible by the number (18) 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 166218144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266092968960).

166218144768 is an abundant number, since it is smaller than the sum of its proper divisors (365967793152).

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

166218144768 is a wasteful number, since it uses less digits than its factorization.

166218144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1816 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 166218144768 in words is "one hundred sixty-six billion, two hundred eighteen million, one hundred forty-four thousand, seven hundred sixty-eight".