34085431622529 has 45 divisors (see below), whose sum is σ = 59231483678961. Its totient is φ = 19477179320760.

The previous prime is 34085431622527. The next prime is 34085431622587. The reversal of 34085431622529 is 92522613458043.

The square root of 34085431622529 is 5838273.

It is a perfect power (a square), and thus also a powerful number.

34085431622529 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 5 + 4 + 3 + 1 + 622 + 5 + 2 + 9 = 666.

It is not a de Polignac number, because 34085431622529 - 2¹ = 34085431622527 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34085431622527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 367764864 + ... + 367857534.

Almost surely, 2^{34085431622529} is an apocalyptic number.

34085431622529 is the 5838273-rd square number.

34085431622529 is the 2919137-th centered octagonal number.

It is an amenable number.

34085431622529 is a deficient number, since it is larger than the sum of its proper divisors (25146052056432).

34085431622529 is an frugal number, since it uses more digits than its factorization.

34085431622529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185368 (or 92681 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 34085431622529 in words is "thirty-four trillion, eighty-five billion, four hundred thirty-one million, six hundred twenty-two thousand, five hundred twenty-nine".