48447842688 has 256 divisors, whose sum is σ = 167219289600. Its totient is φ = 13520037888.

The previous prime is 48447842633. The next prime is 48447842693. The reversal of 48447842688 is 88624874484.

It is a happy number.

48447842688 is a `hidden beast` number, since 4 + 84 + 478 + 4 + 2 + 6 + 88 = 666.

48447842688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48447842688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016970 + ... + 1063542.

It is an arithmetic number, because the mean of its divisors is an integer number (653200350).

Almost surely, 2^48447842688 is an apocalyptic number.

48447842688 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 48447842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83609644800).

48447842688 is an abundant number, since it is smaller than the sum of its proper divisors (118771446912).

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

48447842688 is a wasteful number, since it uses less digits than its factorization.

48447842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46646 (or 46628 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 63.

The spelling of 48447842688 in words is "forty-eight billion, four hundred forty-seven million, eight hundred forty-two thousand, six hundred eighty-eight".