48280334256 has 640 divisors, whose sum is σ = 185702400000. Its totient is φ = 11872707840.

The previous prime is 48280334231. The next prime is 48280334257. The reversal of 48280334256 is 65243308284.

48280334256 is a `hidden beast` number, since 48 + 28 + 0 + 334 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (48280334257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30968005 + ... + 30969563.

It is an arithmetic number, because the mean of its divisors is an integer number (290160000).

Almost surely, 2^48280334256 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 48280334256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200000).

48280334256 is an abundant number, since it is smaller than the sum of its proper divisors (137422065744).

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

48280334256 is a wasteful number, since it uses less digits than its factorization.

48280334256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 48280334256 in words is "forty-eight billion, two hundred eighty million, three hundred thirty-four thousand, two hundred fifty-six".