172618106931984 has 1920 divisors, whose sum is σ = 600122732544000. Its totient is φ = 42401569996800.

The previous prime is 172618106931973. The next prime is 172618106932043. The reversal of 172618106931984 is 489139601816271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 208224495282 + ... + 208224496110.

It is an arithmetic number, because the mean of its divisors is an integer number (312563923200).

Almost surely, 2^{172618106931984} is an apocalyptic number.

172618106931984 is a gapful number since it is divisible by the number (14) 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 172618106931984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300061366272000).

172618106931984 is an abundant number, since it is smaller than the sum of its proper divisors (427504625612016).

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

172618106931984 is a wasteful number, since it uses less digits than its factorization.

172618106931984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 172618106931984 in words is "one hundred seventy-two trillion, six hundred eighteen billion, one hundred six million, nine hundred thirty-one thousand, nine hundred eighty-four".