9006414939513 has 48 divisors (see below), whose sum is σ = 14298135480720. Its totient is φ = 5437596229632.

The previous prime is 9006414939481. The next prime is 9006414939517. The reversal of 9006414939513 is 3159394146009.

It is a happy number.

9006414939513 is a `hidden beast` number, since 9 + 0 + 0 + 64 + 1 + 493 + 95 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1718099642169 + 7288315297344 = 1310763^2 + 2699688^2 .

It is not a de Polignac number, because 9006414939513 - 2⁵ = 9006414939481 is a prime.

It is a super-2 number, since 2×9006414939513² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9006414939513.

It is not an unprimeable number, because it can be changed into a prime (9006414939517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163856 + ... + 4763937.

It is an arithmetic number, because the mean of its divisors is an integer number (297877822515).

Almost surely, 2^{9006414939513} is an apocalyptic number.

It is an amenable number.

9006414939513 is a deficient number, since it is larger than the sum of its proper divisors (5291720541207).

9006414939513 is a wasteful number, since it uses less digits than its factorization.

9006414939513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928138 (or 6928135 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 9006414939513 in words is "nine trillion, six billion, four hundred fourteen million, nine hundred thirty-nine thousand, five hundred thirteen".