34845315561 has 45 divisors (see below), whose sum is σ = 60571750701. Its totient is φ = 19904888808.

The previous prime is 34845315559. The next prime is 34845315581. The reversal of 34845315561 is 16551354843.

The square root of 34845315561 is 186669.

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

34845315561 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 531 + 55 + 61 = 666.

It is not a de Polignac number, because 34845315561 - 2¹ = 34845315559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34845315581) 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, 11758666 + ... + 11761628.

Almost surely, 2^34845315561 is an apocalyptic number.

34845315561 is the 186669-th square number.

34845315561 is the 93335-th centered octagonal number.

It is an amenable number.

34845315561 is a deficient number, since it is larger than the sum of its proper divisors (25726435140).

34845315561 is an frugal number, since it uses more digits than its factorization.

34845315561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 2973 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 34845315561 in words is "thirty-four billion, eight hundred forty-five million, three hundred fifteen thousand, five hundred sixty-one".