48224766742284 has 96 divisors (see below), whose sum is σ = 122864534102016. Its totient is φ = 14600406300480.

The previous prime is 48224766742259. The next prime is 48224766742289.

48224766742284 is nontrivially palindromic in base 10.

48224766742284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (48224766742289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810920319 + ... + 810979785.

It is an arithmetic number, because the mean of its divisors is an integer number (1279838896896).

Almost surely, 2^{48224766742284} is an apocalyptic number.

48224766742284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48224766742284 is an abundant number, since it is smaller than the sum of its proper divisors (74639767359732).

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

48224766742284 is a wasteful number, since it uses less digits than its factorization.

48224766742284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64915 (or 64913 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 48224766742284 in words is "forty-eight trillion, two hundred twenty-four billion, seven hundred sixty-six million, seven hundred forty-two thousand, two hundred eighty-four".