18364417344 has 336 divisors, whose sum is σ = 67606785792. Its totient is φ = 4632477696.

The previous prime is 18364417319. The next prime is 18364417363. The reversal of 18364417344 is 44371446381.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18364417344.

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 47 ways as a sum of consecutive naturals, for example, 1197952 + ... + 1213184.

It is an arithmetic number, because the mean of its divisors is an integer number (201210672).

Almost surely, 2^18364417344 is an apocalyptic number.

18364417344 is a gapful number since it is divisible by the number (14) 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 18364417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33803392896).

18364417344 is an abundant number, since it is smaller than the sum of its proper divisors (49242368448).

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

18364417344 is a wasteful number, since it uses less digits than its factorization.

18364417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294 (or 15281 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 18364417344 in words is "eighteen billion, three hundred sixty-four million, four hundred seventeen thousand, three hundred forty-four".