30904248144 has 320 divisors, whose sum is σ = 106564608000. Its totient is φ = 7474705920.

The previous prime is 30904248107. The next prime is 30904248197. The reversal of 30904248144 is 44184240903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4139487 + ... + 4146945.

It is an arithmetic number, because the mean of its divisors is an integer number (333014400).

Almost surely, 2^30904248144 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 30904248144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53282304000).

30904248144 is an abundant number, since it is smaller than the sum of its proper divisors (75660359856).

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

30904248144 is a wasteful number, since it uses less digits than its factorization.

30904248144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 30904248144 in words is "thirty billion, nine hundred four million, two hundred forty-eight thousand, one hundred forty-four".