18386097313824 has 72 divisors (see below), whose sum is σ = 52286003422380. Its totient is φ = 6128635903488.

The previous prime is 18386097313813. The next prime is 18386097313841. The reversal of 18386097313824 is 42831379068381.

18386097313824 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 609 + 7 + 3 + 13 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18384645703824 + 1451610000 = 4287732^2 + 38100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18386097313824² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33768354 + ... + 34308510.

Almost surely, 2^{18386097313824} is an apocalyptic number.

It is an amenable number.

18386097313824 is an abundant number, since it is smaller than the sum of its proper divisors (33899906108556).

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

18386097313824 is a wasteful number, since it uses less digits than its factorization.

18386097313824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658362 (or 658351 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18386097313824 in words is "eighteen trillion, three hundred eighty-six billion, ninety-seven million, three hundred thirteen thousand, eight hundred twenty-four".