48282823514016 has 1152 divisors, whose sum is σ = 178475976806400. Its totient is φ = 12290310144000.

The previous prime is 48282823513979. The next prime is 48282823514041. The reversal of 48282823514016 is 61041532828284.

48282823514016 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 282 + 351 + 4 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17237707816 + ... + 17237710616.

It is an arithmetic number, because the mean of its divisors is an integer number (154927063200).

Almost surely, 2^{48282823514016} 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 48282823514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89237988403200).

48282823514016 is an abundant number, since it is smaller than the sum of its proper divisors (130193153292384).

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

48282823514016 is a wasteful number, since it uses less digits than its factorization.

48282823514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48282823514016 in words is "forty-eight trillion, two hundred eighty-two billion, eight hundred twenty-three million, five hundred fourteen thousand, sixteen".