48983353528320 has 1248 divisors, whose sum is σ = 182693905336800. Its totient is φ = 12096053968896.

The previous prime is 48983353528301. The next prime is 48983353528357. The reversal of 48983353528320 is 2382535338984.

It is a happy number.

48983353528320 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 33 + 53 + 528 + 3 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 196369514496 + 48786984013824 = 443136^2 + 6984768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59087277666 + ... + 59087278494.

It is an arithmetic number, because the mean of its divisors is an integer number (146389347225).

Almost surely, 2^{48983353528320} is an apocalyptic number.

48983353528320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48983353528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91346952668400).

48983353528320 is an abundant number, since it is smaller than the sum of its proper divisors (133710551808480).

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

48983353528320 is a wasteful number, since it uses less digits than its factorization.

48983353528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 48983353528320 in words is "forty-eight trillion, nine hundred eighty-three billion, three hundred fifty-three million, five hundred twenty-eight thousand, three hundred twenty".