18382349520 has 320 divisors, whose sum is σ = 66912384000. Its totient is φ = 4625662464.

The previous prime is 18382349519. The next prime is 18382349521. The reversal of 18382349520 is 2594328381.

18382349520 is a `hidden beast` number, since 1 + 8 + 3 + 82 + 3 + 49 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (18382349519) and next prime (18382349521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18382349521) 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, 12598551 + ... + 12600009.

It is an arithmetic number, because the mean of its divisors is an integer number (209101200).

Almost surely, 2^18382349520 is an apocalyptic number.

18382349520 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 18382349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456192000).

18382349520 is an abundant number, since it is smaller than the sum of its proper divisors (48530034480).

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

18382349520 is a wasteful number, since it uses less digits than its factorization.

18382349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18382349520 in words is "eighteen billion, three hundred eighty-two million, three hundred forty-nine thousand, five hundred twenty".