34418377381443 has 8 divisors (see below), whose sum is σ = 50063094373056. Its totient is φ = 20859622655400.

The previous prime is 34418377381403. The next prime is 34418377381481.

34418377381443 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34418377381443 - 2¹⁴ = 34418377365059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34418377381403) 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 7 ways as a sum of consecutive naturals, for example, 521490566353 + ... + 521490566418.

It is an arithmetic number, because the mean of its divisors is an integer number (6257886796632).

Almost surely, 2^{34418377381443} is an apocalyptic number.

34418377381443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34418377381443 is a deficient number, since it is larger than the sum of its proper divisors (15644716991613).

34418377381443 is a wasteful number, since it uses less digits than its factorization.

34418377381443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042981132785.

The product of its digits is 65028096, while the sum is 60.

The spelling of 34418377381443 in words is "thirty-four trillion, four hundred eighteen billion, three hundred seventy-seven million, three hundred eighty-one thousand, four hundred forty-three".