18114448782240 has 1152 divisors, whose sum is σ = 67519303488000. Its totient is φ = 4405725757440.

The previous prime is 18114448782233. The next prime is 18114448782277. The reversal of 18114448782240 is 4228784441181.

18114448782240 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 44 + 487 + 82 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29264052651 + ... + 29264053269.

It is an arithmetic number, because the mean of its divisors is an integer number (58610506500).

Almost surely, 2^{18114448782240} is an apocalyptic number.

18114448782240 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 18114448782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759651744000).

18114448782240 is an abundant number, since it is smaller than the sum of its proper divisors (49404854705760).

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

18114448782240 is a wasteful number, since it uses less digits than its factorization.

18114448782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 18114448782240 in words is "eighteen trillion, one hundred fourteen billion, four hundred forty-eight million, seven hundred eighty-two thousand, two hundred forty".