30144944448 has 280 divisors, whose sum is σ = 91329154400. Its totient is φ = 9829112832.

The previous prime is 30144944441. The next prime is 30144944477. The reversal of 30144944448 is 84444944103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144944441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79537923 + ... + 79538301.

Almost surely, 2^30144944448 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 30144944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45664577200).

30144944448 is an abundant number, since it is smaller than the sum of its proper divisors (61184209952).

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

30144944448 is a wasteful number, since it uses less digits than its factorization.

30144944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 30144944448 in words is "thirty billion, one hundred forty-four million, nine hundred forty-four thousand, four hundred forty-eight".