248334433842 has 32 divisors (see below), whose sum is σ = 545144659200. Its totient is φ = 74791181520.

The previous prime is 248334433817. The next prime is 248334433849.

It is a happy number.

248334433842 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 248334433791 and 248334433800.

It is not an unprimeable number, because it can be changed into a prime (248334433849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11531092 + ... + 11552607.

It is an arithmetic number, because the mean of its divisors is an integer number (17035770600).

Almost surely, 2^248334433842 is an apocalyptic number.

248334433842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248334433842 is an abundant number, since it is smaller than the sum of its proper divisors (296810225358).

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

248334433842 is a wasteful number, since it uses less digits than its factorization.

248334433842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083878.

The product of its digits is 5308416, while the sum is 48.

The spelling of 248334433842 in words is "two hundred forty-eight billion, three hundred thirty-four million, four hundred thirty-three thousand, eight hundred forty-two".