18516086784 has 468 divisors, whose sum is σ = 60939369036. Its totient is φ = 5589762048.

The previous prime is 18516086783. The next prime is 18516086839. The reversal of 18516086784 is 48768061581.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7766544384 + 10749542400 = 88128^2 + 103680^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18516086784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18516086783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349360102 + ... + 349360154.

It is an arithmetic number, because the mean of its divisors is an integer number (130212327).

Almost surely, 2^18516086784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18516086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30469684518).

18516086784 is an abundant number, since it is smaller than the sum of its proper divisors (42423282252).

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

18516086784 is an frugal number, since it uses more digits than its factorization.

18516086784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18516086784 in words is "eighteen billion, five hundred sixteen million, eighty-six thousand, seven hundred eighty-four".