48884098176 has 96 divisors (see below), whose sum is σ = 140759474700. Its totient is φ = 16284229632.

The previous prime is 48884098171. The next prime is 48884098177. The reversal of 48884098176 is 67189048884.

48884098176 is a `hidden beast` number, since 4 + 8 + 88 + 409 + 81 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45123955776 + 3760142400 = 212424^2 + 61320^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48884098171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896060 + ... + 1921668.

Almost surely, 2^48884098176 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 48884098176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70379737350).

48884098176 is an abundant number, since it is smaller than the sum of its proper divisors (91875376524).

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

48884098176 is a wasteful number, since it uses less digits than its factorization.

48884098176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 48884098176 in words is "forty-eight billion, eight hundred eighty-four million, ninety-eight thousand, one hundred seventy-six".