48500809344 has 768 divisors, whose sum is σ = 168412608000. Its totient is φ = 13768372224.

The previous prime is 48500809319. The next prime is 48500809373. The reversal of 48500809344 is 44390800584.

It is a happy number.

48500809344 is a `hidden beast` number, since 485 + 0 + 0 + 80 + 93 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48500809344.

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 95 ways as a sum of consecutive naturals, for example, 453278539 + ... + 453278645.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^48500809344 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 48500809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

48500809344 is an abundant number, since it is smaller than the sum of its proper divisors (119911798656).

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

48500809344 is a wasteful number, since it uses less digits than its factorization.

48500809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48500809344 in words is "forty-eight billion, five hundred million, eight hundred nine thousand, three hundred forty-four".