48332626128 has 120 divisors (see below), whose sum is σ = 140363932800. Its totient is φ = 16100550144.

The previous prime is 48332626031. The next prime is 48332626171. The reversal of 48332626128 is 82162623384.

48332626128 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 2 + 626 + 12 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 8274633 + ... + 8280471.

It is an arithmetic number, because the mean of its divisors is an integer number (1169699440).

Almost surely, 2^48332626128 is an apocalyptic number.

48332626128 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 48332626128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70181966400).

48332626128 is an abundant number, since it is smaller than the sum of its proper divisors (92031306672).

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

48332626128 is a wasteful number, since it uses less digits than its factorization.

48332626128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7973 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 48332626128 in words is "forty-eight billion, three hundred thirty-two million, six hundred twenty-six thousand, one hundred twenty-eight".