34229577592243 has 16 divisors (see below), whose sum is σ = 37727849625984. Its totient is φ = 30795746952960.

The previous prime is 34229577592211. The next prime is 34229577592279.

It is a happy number.

34229577592243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34229577592243 - 2⁵ = 34229577592211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34229577592843) 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 15 ways as a sum of consecutive naturals, for example, 26193996 + ... + 27469702.

It is an arithmetic number, because the mean of its divisors is an integer number (2357990601624).

Almost surely, 2^{34229577592243} is an apocalyptic number.

34229577592243 is a deficient number, since it is larger than the sum of its proper divisors (3498272033741).

34229577592243 is a wasteful number, since it uses less digits than its factorization.

34229577592243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300962.

The product of its digits is 228614400, while the sum is 64.

The spelling of 34229577592243 in words is "thirty-four trillion, two hundred twenty-nine billion, five hundred seventy-seven million, five hundred ninety-two thousand, two hundred forty-three".