18686369917440 has 640 divisors, whose sum is σ = 68909077036800. Its totient is φ = 4794057031680.

The previous prime is 18686369917433. The next prime is 18686369917547. The reversal of 18686369917440 is 4471996368681.

It is a happy number.

18686369917440 is a `hidden beast` number, since 1 + 8 + 6 + 86 + 3 + 6 + 99 + 17 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567251370 + ... + 567284310.

It is an arithmetic number, because the mean of its divisors is an integer number (107670432870).

Almost surely, 2^{18686369917440} is an apocalyptic number.

18686369917440 is a gapful number since it is divisible by the number (10) 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 18686369917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34454538518400).

18686369917440 is an abundant number, since it is smaller than the sum of its proper divisors (50222707119360).

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

18686369917440 is a wasteful number, since it uses less digits than its factorization.

18686369917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33285 (or 33263 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 18686369917440 in words is "eighteen trillion, six hundred eighty-six billion, three hundred sixty-nine million, nine hundred seventeen thousand, four hundred forty".