4284201456667 has 8 divisors (see below), whose sum is σ = 4919657175360. Its totient is φ = 3689742881160.

The previous prime is 4284201456653. The next prime is 4284201456707. The reversal of 4284201456667 is 7666541024824.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4284201456667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4284201456617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10249285573 + ... + 10249285990.

It is an arithmetic number, because the mean of its divisors is an integer number (614957146920).

Almost surely, 2^{4284201456667} is an apocalyptic number.

4284201456667 is a deficient number, since it is larger than the sum of its proper divisors (635455718693).

4284201456667 is a wasteful number, since it uses less digits than its factorization.

4284201456667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498571593.

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 4284201456667 in words is "four trillion, two hundred eighty-four billion, two hundred one million, four hundred fifty-six thousand, six hundred sixty-seven".