845517633201 has 6 divisors (see below), whose sum is σ = 1221303247970. Its totient is φ = 563678422128.

The previous prime is 845517633187. The next prime is 845517633209. The reversal of 845517633201 is 102336715548.

It is a happy number.

845517633201 is a `hidden beast` number, since 8 + 4 + 5 + 5 + 1 + 7 + 633 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 830196144801 + 15321488400 = 911151^2 + 123780^2 .

It is not a de Polignac number, because 845517633201 - 2²⁶ = 845450524337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (845517633209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46973201836 + ... + 46973201853.

Almost surely, 2^845517633201 is an apocalyptic number.

It is an amenable number.

845517633201 is a deficient number, since it is larger than the sum of its proper divisors (375785614769).

845517633201 is a wasteful number, since it uses less digits than its factorization.

845517633201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93946403695 (or 93946403692 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 845517633201 in words is "eight hundred forty-five billion, five hundred seventeen million, six hundred thirty-three thousand, two hundred one".