18314257920 has 320 divisors, whose sum is σ = 67150702080. Its totient is φ = 4171235328.

The previous prime is 18314257883. The next prime is 18314257933. The reversal of 18314257920 is 2975241381.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23815296 + ... + 23816064.

It is an arithmetic number, because the mean of its divisors is an integer number (209845944).

Almost surely, 2^18314257920 is an apocalyptic number.

18314257920 is a gapful number since it is divisible by the number (10) 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 18314257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33575351040).

18314257920 is an abundant number, since it is smaller than the sum of its proper divisors (48836444160).

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

18314257920 is an equidigital number, since it uses as much as digits as its factorization.

18314257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 18314257920 in words is "eighteen billion, three hundred fourteen million, two hundred fifty-seven thousand, nine hundred twenty".