48855746688 has 256 divisors, whose sum is σ = 150294144000. Its totient is φ = 13773680640.

The previous prime is 48855746671. The next prime is 48855746689. The reversal of 48855746688 is 88664755884.

It is not an unprimeable number, because it can be changed into a prime (48855746689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85561443 + ... + 85562013.

It is an arithmetic number, because the mean of its divisors is an integer number (587086500).

Almost surely, 2^48855746688 is an apocalyptic number.

48855746688 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 48855746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75147072000).

48855746688 is an abundant number, since it is smaller than the sum of its proper divisors (101438397312).

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

48855746688 is a wasteful number, since it uses less digits than its factorization.

48855746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its digits is 412876800, while the sum is 69.

The spelling of 48855746688 in words is "forty-eight billion, eight hundred fifty-five million, seven hundred forty-six thousand, six hundred eighty-eight".