56434144143465 has 64 divisors (see below), whose sum is σ = 109670946969600. Its totient is φ = 27306281822400.

The previous prime is 56434144143431. The next prime is 56434144143473.

56434144143465 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 4 + 144 + 1 + 434 + 65 = 666.

56434144143465 is nontrivially palindromic in base 10.

56434144143465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56434144143465 - 2²⁴ = 56434127366249 is a prime.

It is an unprimeable number.

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, 37970245 + ... + 39428514.

It is an arithmetic number, because the mean of its divisors is an integer number (1713608546400).

Almost surely, 2^{56434144143465} is an apocalyptic number.

56434144143465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56434144143465 is a deficient number, since it is larger than the sum of its proper divisors (53236802826135).

56434144143465 is a wasteful number, since it uses less digits than its factorization.

56434144143465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77399275 (or 77399269 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

It can be divided in two parts, 5643414 and 4143465, that added together give a palindrome (9786879).

The spelling of 56434144143465 in words is "fifty-six trillion, four hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, four hundred sixty-five".