48138668928 has 256 divisors, whose sum is σ = 167612928000. Its totient is φ = 13310023680.

The previous prime is 48138668873. The next prime is 48138668971. The reversal of 48138668928 is 82986683184.

48138668928 is a `hidden beast` number, since 481 + 3 + 8 + 6 + 68 + 92 + 8 = 666.

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, 717858 + ... + 782046.

It is an arithmetic number, because the mean of its divisors is an integer number (654738000).

Almost surely, 2^48138668928 is an apocalyptic number.

48138668928 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 48138668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83806464000).

48138668928 is an abundant number, since it is smaller than the sum of its proper divisors (119474259072).

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

48138668928 is a wasteful number, since it uses less digits than its factorization.

48138668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64250 (or 64232 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 48138668928 in words is "forty-eight billion, one hundred thirty-eight million, six hundred sixty-eight thousand, nine hundred twenty-eight".