48814960896 has 216 divisors, whose sum is σ = 160489831320. Its totient is φ = 14136311808.

The previous prime is 48814960853. The next prime is 48814960919. The reversal of 48814960896 is 69806941884.

48814960896 is a `hidden beast` number, since 4 + 8 + 8 + 14 + 9 + 608 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1493049600 + 47321911296 = 38640^2 + 217536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461250 + ... + 557118.

Almost surely, 2^48814960896 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 48814960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80244915660).

48814960896 is an abundant number, since it is smaller than the sum of its proper divisors (111674870424).

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

48814960896 is a wasteful number, since it uses less digits than its factorization.

48814960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95921 (or 95904 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 48814960896 in words is "forty-eight billion, eight hundred fourteen million, nine hundred sixty thousand, eight hundred ninety-six".