414763076017 has 12 divisors (see below), whose sum is σ = 440705495916. Its totient is φ = 390268298240.

The previous prime is 414763076011. The next prime is 414763076023. The reversal of 414763076017 is 710670367414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414763076011) and next prime (414763076023).

It can be written as a sum of positive squares in 6 ways, for example, as 13404082176 + 401358993841 = 115776^2 + 633529^2 .

It is a de Polignac number, because none of the positive numbers 2^k-414763076017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414763076011) 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 in 11 ways as a sum of consecutive naturals, for example, 1000917 + ... + 1353277.

It is an arithmetic number, because the mean of its divisors is an integer number (36725457993).

Almost surely, 2^414763076017 is an apocalyptic number.

It is an amenable number.

414763076017 is a deficient number, since it is larger than the sum of its proper divisors (25942419899).

414763076017 is a wasteful number, since it uses less digits than its factorization.

414763076017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356468 (or 356451 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 414763076017 in words is "four hundred fourteen billion, seven hundred sixty-three million, seventy-six thousand, seventeen".