18348023792364 has 192 divisors, whose sum is σ = 51584165068800. Its totient is φ = 4958584128000.

The previous prime is 18348023792363. The next prime is 18348023792437. The reversal of 18348023792364 is 46329732084381.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18348023792298 and 18348023792307.

It is not an unprimeable number, because it can be changed into a prime (18348023792363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4727651704 + ... + 4727655584.

It is an arithmetic number, because the mean of its divisors is an integer number (268667526400).

Almost surely, 2^{18348023792364} is an apocalyptic number.

18348023792364 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 18348023792364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25792082534400).

18348023792364 is an abundant number, since it is smaller than the sum of its proper divisors (33236141276436).

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

18348023792364 is a wasteful number, since it uses less digits than its factorization.

18348023792364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 18348023792364 in words is "eighteen trillion, three hundred forty-eight billion, twenty-three million, seven hundred ninety-two thousand, three hundred sixty-four".