18461149344 has 192 divisors, whose sum is σ = 59467685760. Its totient is φ = 5594054400.

The previous prime is 18461149321. The next prime is 18461149349. The reversal of 18461149344 is 44394116481.

18461149344 is a `hidden beast` number, since 1 + 8 + 461 + 149 + 3 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18461149344.

It is not an unprimeable number, because it can be changed into a prime (18461149349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757834 + ... + 781814.

It is an arithmetic number, because the mean of its divisors is an integer number (309727530).

Almost surely, 2^18461149344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18461149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733842880).

18461149344 is an abundant number, since it is smaller than the sum of its proper divisors (41006536416).

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

18461149344 is an equidigital number, since it uses as much as digits as its factorization.

18461149344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24023 (or 23997 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 18461149344 in words is "eighteen billion, four hundred sixty-one million, one hundred forty-nine thousand, three hundred forty-four".