34624466442643 has 32 divisors (see below), whose sum is σ = 43357239152640. Its totient is φ = 26862189113760.

The previous prime is 34624466442623. The next prime is 34624466442661.

34624466442643 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34624466442643 is a prime.

It is a super-2 number, since 2×34624466442643² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34624466442623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15161496 + ... + 17295082.

It is an arithmetic number, because the mean of its divisors is an integer number (1354913723520).

Almost surely, 2^{34624466442643} is an apocalyptic number.

34624466442643 is a deficient number, since it is larger than the sum of its proper divisors (8732772709997).

34624466442643 is a wasteful number, since it uses less digits than its factorization.

34624466442643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134527.

The product of its digits is 191102976, while the sum is 58.

The spelling of 34624466442643 in words is "thirty-four trillion, six hundred twenty-four billion, four hundred sixty-six million, four hundred forty-two thousand, six hundred forty-three".