48724242784 has 48 divisors (see below), whose sum is σ = 109686721536. Its totient is φ = 20870928000.

The previous prime is 48724242781. The next prime is 48724242821.

It is a happy number.

48724242784 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 not an unprimeable number, because it can be changed into a prime (48724242781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381279 + ... + 492769.

It is an arithmetic number, because the mean of its divisors is an integer number (2285140032).

Almost surely, 2^48724242784 is an apocalyptic number.

It is an amenable number.

48724242784 is an abundant number, since it is smaller than the sum of its proper divisors (60962478752).

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

48724242784 is a wasteful number, since it uses less digits than its factorization.

48724242784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113459 (or 113451 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 52.

The spelling of 48724242784 in words is "forty-eight billion, seven hundred twenty-four million, two hundred forty-two thousand, seven hundred eighty-four".