30998048256 has 480 divisors, whose sum is σ = 110613634560. Its totient is φ = 8157708288.

The previous prime is 30998048239. The next prime is 30998048297. The reversal of 30998048256 is 65284089903.

30998048256 is a `hidden beast` number, since 30 + 9 + 9 + 80 + 482 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22675285 + ... + 22676651.

It is an arithmetic number, because the mean of its divisors is an integer number (230445072).

Almost surely, 2^30998048256 is an apocalyptic number.

30998048256 is a gapful number since it is divisible by the number (36) 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 30998048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55306817280).

30998048256 is an abundant number, since it is smaller than the sum of its proper divisors (79615586304).

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

30998048256 is a wasteful number, since it uses less digits than its factorization.

30998048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 30998048256 in words is "thirty billion, nine hundred ninety-eight million, forty-eight thousand, two hundred fifty-six".