18913194144 has 480 divisors, whose sum is σ = 64153582416. Its totient is φ = 5414584320.

The previous prime is 18913194071. The next prime is 18913194197. The reversal of 18913194144 is 44149131981.

It can be written as a sum of positive squares in 8 ways, for example, as 11859210000 + 7053984144 = 108900^2 + 83988^2 .

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 18913194144.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 78477864 + ... + 78478104.

Almost surely, 2^18913194144 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 18913194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32076791208).

18913194144 is an abundant number, since it is smaller than the sum of its proper divisors (45240388272).

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

18913194144 is a wasteful number, since it uses less digits than its factorization.

18913194144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 18913194144 in words is "eighteen billion, nine hundred thirteen million, one hundred ninety-four thousand, one hundred forty-four".