416148849217 has 8 divisors (see below), whose sum is σ = 419358496392. Its totient is φ = 412941696000.

The previous prime is 416148849211. The next prime is 416148849223. The reversal of 416148849217 is 712948841614.

It is a Cunningham number, because it is equal to 645096²+1.

It is an interprime number because it is at equal distance from previous prime (416148849211) and next prime (416148849223).

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 416148849216 = 1^2 + 645096^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 416148849217 - 2¹⁵ = 416148816449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416148849211) 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, 287784 + ... + 956617.

It is an arithmetic number, because the mean of its divisors is an integer number (52419812049).

Almost surely, 2^416148849217 is an apocalyptic number.

It is an amenable number.

416148849217 is a deficient number, since it is larger than the sum of its proper divisors (3209647175).

416148849217 is a wasteful number, since it uses less digits than its factorization.

416148849217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246979.

The product of its digits is 3096576, while the sum is 55.

The spelling of 416148849217 in words is "four hundred sixteen billion, one hundred forty-eight million, eight hundred forty-nine thousand, two hundred seventeen".