845216576401 has 2 divisors, whose sum is σ = 845216576402. Its totient is φ = 845216576400.

The previous prime is 845216576387. The next prime is 845216576453. The reversal of 845216576401 is 104675612548.

845216576401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 843870053376 + 1346523025 = 918624^2 + 36695^2 .

It is a cyclic number.

It is not a de Polignac number, because 845216576401 - 2²⁹ = 844679705489 is a prime.

It is a super-2 number, since 2×845216576401² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (845219576401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422608288200 + 422608288201.

It is an arithmetic number, because the mean of its divisors is an integer number (422608288201).

Almost surely, 2^845216576401 is an apocalyptic number.

It is an amenable number.

845216576401 is a deficient number, since it is larger than the sum of its proper divisors (1).

845216576401 is an equidigital number, since it uses as much as digits as its factorization.

845216576401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 845216576401 in words is "eight hundred forty-five billion, two hundred sixteen million, five hundred seventy-six thousand, four hundred one".