34414622641443 has 128 divisors (see below), whose sum is σ = 55439887334400. Its totient is φ = 18752912640000.

The previous prime is 34414622641403. The next prime is 34414622641463.

34414622641443 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34414622641443 is a prime.

It is a super-2 number, since 2×34414622641443² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34414622641392 and 34414622641401.

It is not an unprimeable number, because it can be changed into a prime (34414622641403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1797943653 + ... + 1797962793.

It is an arithmetic number, because the mean of its divisors is an integer number (433124119800).

Almost surely, 2^{34414622641443} is an apocalyptic number.

34414622641443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34414622641443 is a deficient number, since it is larger than the sum of its proper divisors (21025264692957).

34414622641443 is a wasteful number, since it uses less digits than its factorization.

34414622641443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20885.

The product of its digits is 5308416, while the sum is 48.

The spelling of 34414622641443 in words is "thirty-four trillion, four hundred fourteen billion, six hundred twenty-two million, six hundred forty-one thousand, four hundred forty-three".