34464244246443 has 32 divisors (see below), whose sum is σ = 55734407097600. Its totient is φ = 20874438849600.

The previous prime is 34464244246433. The next prime is 34464244246501.

It is a happy number.

34464244246443 is a `hidden beast` number, since 3 + 44 + 64 + 2 + 4 + 42 + 464 + 43 = 666.

34464244246443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34464244246443 - 2¹² = 34464244242347 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34464244246443.

It is not an unprimeable number, because it can be changed into a prime (34464244246433) 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 31 ways as a sum of consecutive naturals, for example, 35582173 + ... + 36537918.

It is an arithmetic number, because the mean of its divisors is an integer number (1741700221800).

Almost surely, 2^{34464244246443} is an apocalyptic number.

34464244246443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34464244246443 is a deficient number, since it is larger than the sum of its proper divisors (21270162851157).

34464244246443 is a wasteful number, since it uses less digits than its factorization.

34464244246443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72121720 (or 72121714 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

The spelling of 34464244246443 in words is "thirty-four trillion, four hundred sixty-four billion, two hundred forty-four million, two hundred forty-six thousand, four hundred forty-three".