18444222720 has 1152 divisors, whose sum is σ = 84768768000. Its totient is φ = 3684925440.

The previous prime is 18444222689. The next prime is 18444222739. The reversal of 18444222720 is 2722244481.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 77172361 + ... + 77172599.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 2^18444222720 is an apocalyptic number.

18444222720 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 18444222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384384000).

18444222720 is an abundant number, since it is smaller than the sum of its proper divisors (66324545280).

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

18444222720 is a wasteful number, since it uses less digits than its factorization.

18444222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 18444222720 in words is "eighteen billion, four hundred forty-four million, two hundred twenty-two thousand, seven hundred twenty".