18456913920 has 192 divisors, whose sum is σ = 60955614720. Its totient is φ = 4762828800.

The previous prime is 18456913841. The next prime is 18456913933. The reversal of 18456913920 is 2931965481.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18456913920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942630 + ... + 962010.

It is an arithmetic number, because the mean of its divisors is an integer number (317477160).

Almost surely, 2^18456913920 is an apocalyptic number.

18456913920 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 18456913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30477807360).

18456913920 is an abundant number, since it is smaller than the sum of its proper divisors (42498700800).

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

18456913920 is a wasteful number, since it uses less digits than its factorization.

18456913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 18456913920 in words is "eighteen billion, four hundred fifty-six million, nine hundred thirteen thousand, nine hundred twenty".