442341023211113 has 24 divisors (see below), whose sum is σ = 506040562886040. Its totient is φ = 384293711093760.

The previous prime is 442341023211089. The next prime is 442341023211119. The reversal of 442341023211113 is 311112320143244.

It can be written as a sum of positive squares in 12 ways, for example, as 78165172985449 + 364175850225664 = 8841107^2 + 19083392^2 .

It is not a de Polignac number, because 442341023211113 - 2⁶ = 442341023211049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442341023211113.

It is not an unprimeable number, because it can be changed into a prime (442341023211119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758205383 + ... + 758788563.

It is an arithmetic number, because the mean of its divisors is an integer number (21085023453585).

Almost surely, 2^{442341023211113} is an apocalyptic number.

It is an amenable number.

442341023211113 is a deficient number, since it is larger than the sum of its proper divisors (63699539674927).

442341023211113 is a wasteful number, since it uses less digits than its factorization.

442341023211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785117 (or 785100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 442341023211113 its reverse (311112320143244), we get a palindrome (753453343354357).

The spelling of 442341023211113 in words is "four hundred forty-two trillion, three hundred forty-one billion, twenty-three million, two hundred eleven thousand, one hundred thirteen".