48845518128 has 300 divisors, whose sum is σ = 157746804600. Its totient is φ = 14577615360.

The previous prime is 48845518109. The next prime is 48845518147. The reversal of 48845518128 is 82181554884.

48845518128 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 551 + 81 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48845518109) and next prime (48845518147).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10504348 + ... + 10508996.

It is an arithmetic number, because the mean of its divisors is an integer number (525822682).

Almost surely, 2^48845518128 is an apocalyptic number.

48845518128 is a gapful number since it is divisible by the number (48) 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 48845518128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78873402300).

48845518128 is an abundant number, since it is smaller than the sum of its proper divisors (108901286472).

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

48845518128 is a wasteful number, since it uses less digits than its factorization.

48845518128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4732 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The spelling of 48845518128 in words is "forty-eight billion, eight hundred forty-five million, five hundred eighteen thousand, one hundred twenty-eight".