48480882714 has 288 divisors, whose sum is σ = 126173593728. Its totient is φ = 13329792000.

The previous prime is 48480882707. The next prime is 48480882739. The reversal of 48480882714 is 41728808484.

48480882714 is a `hidden beast` number, since 484 + 80 + 8 + 82 + 7 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208072342 + ... + 208072574.

It is an arithmetic number, because the mean of its divisors is an integer number (438102756).

Almost surely, 2^48480882714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48480882714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086796864).

48480882714 is an abundant number, since it is smaller than the sum of its proper divisors (77692711014).

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

48480882714 is a wasteful number, since it uses less digits than its factorization.

48480882714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 48480882714 in words is "forty-eight billion, four hundred eighty million, eight hundred eighty-two thousand, seven hundred fourteen".