34561641305 has 16 divisors (see below), whose sum is σ = 43051046400. Its totient is φ = 26607895680.

The previous prime is 34561641271. The next prime is 34561641319. The reversal of 34561641305 is 50314616543.

It is not a de Polignac number, because 34561641305 - 2¹⁴ = 34561624921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595100 + ... + 650589.

It is an arithmetic number, because the mean of its divisors is an integer number (2690690400).

Almost surely, 2^34561641305 is an apocalyptic number.

It is an amenable number.

34561641305 is a deficient number, since it is larger than the sum of its proper divisors (8489405095).

34561641305 is a wasteful number, since it uses less digits than its factorization.

34561641305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245904.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 34561641305 in words is "thirty-four billion, five hundred sixty-one million, six hundred forty-one thousand, three hundred five".