18646853642172 has 576 divisors, whose sum is σ = 60220163727360. Its totient is φ = 4744131379200.

The previous prime is 18646853642147. The next prime is 18646853642239. The reversal of 18646853642172 is 27124635864681.

18646853642172 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 6 + 8 + 536 + 4 + 21 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3520264228 + ... + 3520269524.

It is an arithmetic number, because the mean of its divisors is an integer number (104548895360).

Almost surely, 2^{18646853642172} is an apocalyptic number.

18646853642172 is a gapful number since it is divisible by the number (12) 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 18646853642172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110081863680).

18646853642172 is an abundant number, since it is smaller than the sum of its proper divisors (41573310085188).

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

18646853642172 is a wasteful number, since it uses less digits than its factorization.

18646853642172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6037 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 18646853642172 in words is "eighteen trillion, six hundred forty-six billion, eight hundred fifty-three million, six hundred forty-two thousand, one hundred seventy-two".