48338883384 has 96 divisors (see below), whose sum is σ = 132919221120. Its totient is φ = 14638536000.

The previous prime is 48338883379. The next prime is 48338883401.

48338883384 is nontrivially palindromic in base 10.

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, 5312679 + ... + 5321769.

It is an arithmetic number, because the mean of its divisors is an integer number (1384575220).

Almost surely, 2^48338883384 is an apocalyptic number.

48338883384 is a gapful number since it is divisible by the number (44) 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 48338883384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66459610560).

48338883384 is an abundant number, since it is smaller than the sum of its proper divisors (84580337736).

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

48338883384 is a wasteful number, since it uses less digits than its factorization.

48338883384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10953 (or 10938 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 48338883384 in words is "forty-eight billion, three hundred thirty-eight million, eight hundred eighty-three thousand, three hundred eighty-four".