18307755648 has 512 divisors, whose sum is σ = 69421363200. Its totient is φ = 4616663040.

The previous prime is 18307755589. The next prime is 18307755667. The reversal of 18307755648 is 84655770381.

It is a happy number.

18307755648 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 7 + 75 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18307755594 and 18307755603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7232143 + ... + 7234673.

It is an arithmetic number, because the mean of its divisors is an integer number (135588600).

Almost surely, 2^18307755648 is an apocalyptic number.

18307755648 is a gapful number since it is divisible by the number (18) 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 18307755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34710681600).

18307755648 is an abundant number, since it is smaller than the sum of its proper divisors (51113607552).

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

18307755648 is a wasteful number, since it uses less digits than its factorization.

18307755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 18307755648 in words is "eighteen billion, three hundred seven million, seven hundred fifty-five thousand, six hundred forty-eight".