18693785662272 has 672 divisors, whose sum is σ = 67516891932672. Its totient is φ = 5012431497216.

The previous prime is 18693785662217. The next prime is 18693785662313. The reversal of 18693785662272 is 27226658739681.

18693785662272 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 37 + 8 + 566 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18693785662272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132634783 + ... + 132775649.

It is an arithmetic number, because the mean of its divisors is an integer number (100471565376).

Almost surely, 2^{18693785662272} is an apocalyptic number.

18693785662272 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 18693785662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33758445966336).

18693785662272 is an abundant number, since it is smaller than the sum of its proper divisors (48823106270400).

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

18693785662272 is a wasteful number, since it uses less digits than its factorization.

18693785662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140977 (or 140955 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 18693785662272 in words is "eighteen trillion, six hundred ninety-three billion, seven hundred eighty-five million, six hundred sixty-two thousand, two hundred seventy-two".