34463133136443 has 16 divisors (see below), whose sum is σ = 50134007379456. Its totient is φ = 20884324969440.

The previous prime is 34463133136427. The next prime is 34463133136499.

It is a happy number.

34463133136443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34463133136443 - 2⁴ = 34463133136427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34463133136392 and 34463133136401.

It is not an unprimeable number, because it can be changed into a prime (34463133136423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60270780 + ... + 60839897.

It is an arithmetic number, because the mean of its divisors is an integer number (3133375461216).

Almost surely, 2^{34463133136443} is an apocalyptic number.

34463133136443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34463133136443 is a deficient number, since it is larger than the sum of its proper divisors (15670874243013).

34463133136443 is a wasteful number, since it uses less digits than its factorization.

34463133136443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121119314.

The product of its digits is 6718464, while the sum is 48.

The spelling of 34463133136443 in words is "thirty-four trillion, four hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, four hundred forty-three".