18986765865984 has 880 divisors, whose sum is σ = 68874264645120. Its totient is φ = 5085993369600.

The previous prime is 18986765865961. The next prime is 18986765866007. The reversal of 18986765865984 is 48956856768981.

18986765865984 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 6 + 7 + 6 + 5 + 8 + 6 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18986765865961) and next prime (18986765866007).

It is a junction number, because it is equal to n+sod(n) for n = 18986765865894 and 18986765865903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2655116809 + ... + 2655123959.

It is an arithmetic number, because the mean of its divisors is an integer number (78266209824).

Almost surely, 2^{18986765865984} is an apocalyptic number.

18986765865984 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 18986765865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437132322560).

18986765865984 is an abundant number, since it is smaller than the sum of its proper divisors (49887498779136).

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

18986765865984 is a wasteful number, since it uses less digits than its factorization.

18986765865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7449 counting only the distinct ones).

The product of its digits is 50164531200, while the sum is 90.

The spelling of 18986765865984 in words is "eighteen trillion, nine hundred eighty-six billion, seven hundred sixty-five million, eight hundred sixty-five thousand, nine hundred eighty-four".