18314483040 has 648 divisors, whose sum is σ = 76836483360. Its totient is φ = 3960327168.

The previous prime is 18314483029. The next prime is 18314483041. The reversal of 18314483040 is 4038441381.

18314483040 is a `hidden beast` number, since 183 + 1 + 448 + 30 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18314482986 and 18314483004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18314483041) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 25471801 + ... + 25472519.

It is an arithmetic number, because the mean of its divisors is an integer number (118574820).

Almost surely, 2^18314483040 is an apocalyptic number.

18314483040 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 18314483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38418241680).

18314483040 is an abundant number, since it is smaller than the sum of its proper divisors (58522000320).

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

18314483040 is a wasteful number, since it uses less digits than its factorization.

18314483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18314483040 in words is "eighteen billion, three hundred fourteen million, four hundred eighty-three thousand, forty".