18838364160 has 672 divisors, whose sum is σ = 76140844416. Its totient is φ = 3892838400.

The previous prime is 18838364147. The next prime is 18838364179. The reversal of 18838364160 is 6146383881.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104079270 + ... + 104079450.

It is an arithmetic number, because the mean of its divisors is an integer number (113304828).

Almost surely, 2^18838364160 is an apocalyptic number.

18838364160 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 18838364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070422208).

18838364160 is an abundant number, since it is smaller than the sum of its proper divisors (57302480256).

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

18838364160 is a wasteful number, since it uses less digits than its factorization.

18838364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 18838364160 in words is "eighteen billion, eight hundred thirty-eight million, three hundred sixty-four thousand, one hundred sixty".