18123682304 has 320 divisors, whose sum is σ = 47846937600. Its totient is φ = 6658080768.

The previous prime is 18123682277. The next prime is 18123682321. The reversal of 18123682304 is 40328632181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52229459 + ... + 52229805.

It is an arithmetic number, because the mean of its divisors is an integer number (149521680).

Almost surely, 2^18123682304 is an apocalyptic number.

18123682304 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 18123682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923468800).

18123682304 is an abundant number, since it is smaller than the sum of its proper divisors (29723255296).

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

18123682304 is a wasteful number, since it uses less digits than its factorization.

18123682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 18123682304 in words is "eighteen billion, one hundred twenty-three million, six hundred eighty-two thousand, three hundred four".