5667414147665 has 24 divisors (see below), whose sum is σ = 7046934603840. Its totient is φ = 4375452200160.

The previous prime is 5667414147607. The next prime is 5667414147737.

5667414147665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5667414147665 - 2⁶ = 5667414147601 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5667414147598 and 5667414147607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82262 + ... + 3367728.

It is an arithmetic number, because the mean of its divisors is an integer number (293622275160).

Almost surely, 2^{5667414147665} is an apocalyptic number.

It is an amenable number.

5667414147665 is a deficient number, since it is larger than the sum of its proper divisors (1379520456175).

5667414147665 is a wasteful number, since it uses less digits than its factorization.

5667414147665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285893 (or 3285862 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 62.

The spelling of 5667414147665 in words is "five trillion, six hundred sixty-seven billion, four hundred fourteen million, one hundred forty-seven thousand, six hundred sixty-five".