1638007006417 has 2 divisors, whose sum is σ = 1638007006418. Its totient is φ = 1638007006416.

The previous prime is 1638007006411. The next prime is 1638007006429. The reversal of 1638007006417 is 7146007008361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1633682760336 + 4324246081 = 1278156^2 + 65759^2 .

It is a cyclic number.

It is not a de Polignac number, because 1638007006417 - 2¹¹ = 1638007004369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1638007006411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 819003503208 + 819003503209.

It is an arithmetic number, because the mean of its divisors is an integer number (819003503209).

Almost surely, 2^{1638007006417} is an apocalyptic number.

It is an amenable number.

1638007006417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1638007006417 is an equidigital number, since it uses as much as digits as its factorization.

1638007006417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 1638007006417 in words is "one trillion, six hundred thirty-eight billion, seven million, six thousand, four hundred seventeen".