4281628137667 has 8 divisors (see below), whose sum is σ = 4315125664080. Its totient is φ = 4248142934880.

The previous prime is 4281628137643. The next prime is 4281628137797. The reversal of 4281628137667 is 7667318261824.

4281628137667 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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-4281628137667 is a prime.

It is a super-3 number, since 3×4281628137667³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4281628137167) 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, 2382708 + ... + 3773665.

It is an arithmetic number, because the mean of its divisors is an integer number (539390708010).

Almost surely, 2^{4281628137667} is an apocalyptic number.

4281628137667 is a deficient number, since it is larger than the sum of its proper divisors (33497526413).

4281628137667 is a wasteful number, since it uses less digits than its factorization.

4281628137667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161813.

The product of its digits is 32514048, while the sum is 61.

The spelling of 4281628137667 in words is "four trillion, two hundred eighty-one billion, six hundred twenty-eight million, one hundred thirty-seven thousand, six hundred sixty-seven".