18248987431584 has 192 divisors, whose sum is σ = 65509185934080. Its totient is φ = 4812919741440.

The previous prime is 18248987431583. The next prime is 18248987431601. The reversal of 18248987431584 is 48513478984281.

18248987431584 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 8 + 9 + 8 + 7 + 4 + 31 + 584 = 666.

It is a super-2 number, since 2×18248987431584² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18248987431583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115973647 + ... + 116130894.

It is an arithmetic number, because the mean of its divisors is an integer number (341193676740).

Almost surely, 2^{18248987431584} is an apocalyptic number.

18248987431584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18248987431584 is an abundant number, since it is smaller than the sum of its proper divisors (47260198502496).

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

18248987431584 is a wasteful number, since it uses less digits than its factorization.

18248987431584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232104580 (or 232104566 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 18248987431584 in words is "eighteen trillion, two hundred forty-eight billion, nine hundred eighty-seven million, four hundred thirty-one thousand, five hundred eighty-four".