34451322315443 has 64 divisors (see below), whose sum is σ = 40503647600640. Its totient is φ = 29009534400000.

The previous prime is 34451322315439. The next prime is 34451322315499.

34451322315443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34451322315443 - 2² = 34451322315439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34451322315394 and 34451322315403.

It is not an unprimeable number, because it can be changed into a prime (34451322315043) 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 63 ways as a sum of consecutive naturals, for example, 131548238 + ... + 131809868.

It is an arithmetic number, because the mean of its divisors is an integer number (632869493760).

Almost surely, 2^{34451322315443} is an apocalyptic number.

34451322315443 is a deficient number, since it is larger than the sum of its proper divisors (6052325285197).

34451322315443 is a wasteful number, since it uses less digits than its factorization.

34451322315443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261900.

The product of its digits is 2073600, while the sum is 44.

The spelling of 34451322315443 in words is "thirty-four trillion, four hundred fifty-one billion, three hundred twenty-two million, three hundred fifteen thousand, four hundred forty-three".