48845922048 has 576 divisors, whose sum is σ = 183861888000. Its totient is φ = 12680478720.

The previous prime is 48845922023. The next prime is 48845922149. The reversal of 48845922048 is 84022954884.

48845922048 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 592 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 48845921985 and 48845922003.

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 63 ways as a sum of consecutive naturals, for example, 26078040 + ... + 26079912.

Almost surely, 2^48845922048 is an apocalyptic number.

48845922048 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 48845922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91930944000).

48845922048 is an abundant number, since it is smaller than the sum of its proper divisors (135015965952).

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

48845922048 is a wasteful number, since it uses less digits than its factorization.

48845922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 48845922048 in words is "forty-eight billion, eight hundred forty-five million, nine hundred twenty-two thousand, forty-eight".