48245800960 has 512 divisors, whose sum is σ = 144952934400. Its totient is φ = 15052308480.

The previous prime is 48245800919. The next prime is 48245800969. The reversal of 48245800960 is 6900854284.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 48245800960.

It is not an unprimeable number, because it can be changed into a prime (48245800969) 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 31 ways as a sum of consecutive naturals, for example, 817725411 + ... + 817725469.

It is an arithmetic number, because the mean of its divisors is an integer number (283111200).

Almost surely, 2^48245800960 is an apocalyptic number.

48245800960 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 48245800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72476467200).

48245800960 is an abundant number, since it is smaller than the sum of its proper divisors (96707133440).

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

48245800960 is an equidigital number, since it uses as much as digits as its factorization.

48245800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 48245800960 in words is "forty-eight billion, two hundred forty-five million, eight hundred thousand, nine hundred sixty".