18686711307264 has 2112 divisors, whose sum is σ = 73575903854592. Its totient is φ = 4076155699200.

The previous prime is 18686711307241. The next prime is 18686711307287. The reversal of 18686711307264 is 46270311768681.

It is an interprime number because it is at equal distance from previous prime (18686711307241) and next prime (18686711307287).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a junction number, because it is equal to n+sod(n) for n = 18686711307198 and 18686711307207.

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, 21067317829 + ... + 21067318715.

Almost surely, 2^{18686711307264} is an apocalyptic number.

18686711307264 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 18686711307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36787951927296).

18686711307264 is an abundant number, since it is smaller than the sum of its proper divisors (54889192547328).

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

18686711307264 is a wasteful number, since it uses less digits than its factorization.

18686711307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 18686711307264 in words is "eighteen trillion, six hundred eighty-six billion, seven hundred eleven million, three hundred seven thousand, two hundred sixty-four".