13872627673 has 2 divisors, whose sum is σ = 13872627674. Its totient is φ = 13872627672.

The previous prime is 13872627641. The next prime is 13872627731. The reversal of 13872627673 is 37672627831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8761521609 + 5111106064 = 93603^2 + 71492^2 .

It is a cyclic number.

It is not a de Polignac number, because 13872627673 - 2⁵ = 13872627641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13872627673.

It is not a weakly prime, because it can be changed into another prime (13872627173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6936313836 + 6936313837.

It is an arithmetic number, because the mean of its divisors is an integer number (6936313837).

Almost surely, 2^13872627673 is an apocalyptic number.

It is an amenable number.

13872627673 is a deficient number, since it is larger than the sum of its proper divisors (1).

13872627673 is an equidigital number, since it uses as much as digits as its factorization.

13872627673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3556224, while the sum is 52.

The spelling of 13872627673 in words is "thirteen billion, eight hundred seventy-two million, six hundred twenty-seven thousand, six hundred seventy-three".