34228444482243 has 64 divisors (see below), whose sum is σ = 56729615846400. Its totient is φ = 20216519136000.

The previous prime is 34228444482241. The next prime is 34228444482251.

34228444482243 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 84 + 44 + 482 + 2 + 43 = 666.

34228444482243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34228444482243 - 2¹ = 34228444482241 is a prime.

It is a super-2 number, since 2×34228444482243² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34228444482243.

It is not an unprimeable number, because it can be changed into a prime (34228444482241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9661333 + ... + 12719993.

It is an arithmetic number, because the mean of its divisors is an integer number (886400247600).

Almost surely, 2^{34228444482243} is an apocalyptic number.

34228444482243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34228444482243 is a deficient number, since it is larger than the sum of its proper divisors (22501171364157).

34228444482243 is a wasteful number, since it uses less digits than its factorization.

34228444482243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059641 (or 3059635 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 34228444482243 in words is "thirty-four trillion, two hundred twenty-eight billion, four hundred forty-four million, four hundred eighty-two thousand, two hundred forty-three".