414331286137 has 2 divisors, whose sum is σ = 414331286138. Its totient is φ = 414331286136.

The previous prime is 414331286093. The next prime is 414331286231. The reversal of 414331286137 is 731682133414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413171270656 + 1160015481 = 642784^2 + 34059^2 .

It is a cyclic number.

It is not a de Polignac number, because 414331286137 - 2⁷ = 414331286009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414331286093 and 414331286102.

It is not a weakly prime, because it can be changed into another prime (414331286737) by changing a digit.

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 as a sum of consecutive naturals, namely, 207165643068 + 207165643069.

It is an arithmetic number, because the mean of its divisors is an integer number (207165643069).

Almost surely, 2^414331286137 is an apocalyptic number.

It is an amenable number.

414331286137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414331286137 is an equidigital number, since it uses as much as digits as its factorization.

414331286137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 43.

The spelling of 414331286137 in words is "four hundred fourteen billion, three hundred thirty-one million, two hundred eighty-six thousand, one hundred thirty-seven".