48668770944 has 384 divisors, whose sum is σ = 149579801280. Its totient is φ = 15746088960.

The previous prime is 48668770939. The next prime is 48668770981. The reversal of 48668770944 is 44907786684.

48668770944 is a `hidden beast` number, since 486 + 6 + 87 + 70 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48668770944² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 214399759 + ... + 214399985.

Almost surely, 2^48668770944 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 48668770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74789900640).

48668770944 is an abundant number, since it is smaller than the sum of its proper divisors (100911030336).

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

48668770944 is a wasteful number, since it uses less digits than its factorization.

48668770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 48668770944 in words is "forty-eight billion, six hundred sixty-eight million, seven hundred seventy thousand, nine hundred forty-four".