172182244968 has 160 divisors (see below), whose sum is σ = 502211952000. Its totient is φ = 55047081600.

The previous prime is 172182244889. The next prime is 172182244979. The reversal of 172182244968 is 869442281271.

172182244968 is a `hidden beast` number, since 1 + 72 + 1 + 82 + 2 + 4 + 496 + 8 = 666.

It is a super-2 number, since 2×172182244968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 2807253 + ... + 2867931.

It is an arithmetic number, because the mean of its divisors is an integer number (3138824700).

Almost surely, 2^172182244968 is an apocalyptic number.

172182244968 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 172182244968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251105976000).

172182244968 is an abundant number, since it is smaller than the sum of its proper divisors (330029707032).

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

172182244968 is a wasteful number, since it uses less digits than its factorization.

172182244968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60877 (or 60864 counting only the distinct ones).

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

The spelling of 172182244968 in words is "one hundred seventy-two billion, one hundred eighty-two million, two hundred forty-four thousand, nine hundred sixty-eight".