48644072820 has 216 divisors, whose sum is σ = 171855808488. Its totient is φ = 11104934400.

The previous prime is 48644072819. The next prime is 48644072843. The reversal of 48644072820 is 2827044684.

It can be written as a sum of positive squares in 4 ways, for example, as 5978691684 + 42665381136 = 77322^2 + 206556^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8296690 + ... + 8302550.

It is an arithmetic number, because the mean of its divisors is an integer number (795628743).

Almost surely, 2^48644072820 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 48644072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85927904244).

48644072820 is an abundant number, since it is smaller than the sum of its proper divisors (123211735668).

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

48644072820 is a wasteful number, since it uses less digits than its factorization.

48644072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 48644072820 in words is "forty-eight billion, six hundred forty-four million, seventy-two thousand, eight hundred twenty".