48445931520 has 900 divisors, whose sum is σ = 203394599100. Its totient is φ = 10999037952.

The previous prime is 48445931507. The next prime is 48445931531. The reversal of 48445931520 is 2513954484.

48445931520 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 593 + 1 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10989748224 + 37456183296 = 104832^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325140406 + ... + 325140554.

It is an arithmetic number, because the mean of its divisors is an integer number (225993999).

Almost surely, 2^48445931520 is an apocalyptic number.

48445931520 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 48445931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101697299550).

48445931520 is an abundant number, since it is smaller than the sum of its proper divisors (154948667580).

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

48445931520 is an equidigital number, since it uses as much as digits as its factorization.

48445931520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 48445931520 in words is "forty-eight billion, four hundred forty-five million, nine hundred thirty-one thousand, five hundred twenty".