48138762672 has 1680 divisors, whose sum is σ = 207656709120. Its totient is φ = 10581580800.

The previous prime is 48138762647. The next prime is 48138762689. The reversal of 48138762672 is 27626783184.

48138762672 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 8 + 7 + 626 + 7 + 2 = 666.

48138762672 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 2×48138762672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1552863297 + ... + 1552863327.

It is an arithmetic number, because the mean of its divisors is an integer number (123605184).

Almost surely, 2^48138762672 is an apocalyptic number.

48138762672 is a gapful number since it is divisible by the number (42) 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 48138762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103828354560).

48138762672 is an abundant number, since it is smaller than the sum of its proper divisors (159517946448).

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

48138762672 is a wasteful number, since it uses less digits than its factorization.

48138762672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 48138762672 in words is "forty-eight billion, one hundred thirty-eight million, seven hundred sixty-two thousand, six hundred seventy-two".