48424788742484 has 96 divisors (see below), whose sum is σ = 111911744206080. Its totient is φ = 17750209075200.

The previous prime is 48424788742481. The next prime is 48424788742531.

48424788742484 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48424788742481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11959262 + ... + 15487850.

It is an arithmetic number, because the mean of its divisors is an integer number (1165747335480).

Almost surely, 2^{48424788742484} is an apocalyptic number.

48424788742484 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 48424788742484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55955872103040).

48424788742484 is an abundant number, since it is smaller than the sum of its proper divisors (63486955463596).

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

48424788742484 is a wasteful number, since it uses less digits than its factorization.

48424788742484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531249 (or 3531247 counting only the distinct ones).

The product of its digits is 3288334336, while the sum is 74.

The spelling of 48424788742484 in words is "forty-eight trillion, four hundred twenty-four billion, seven hundred eighty-eight million, seven hundred forty-two thousand, four hundred eighty-four".