45812416236401 has 2 divisors, whose sum is σ = 45812416236402. Its totient is φ = 45812416236400.

The previous prime is 45812416236311. The next prime is 45812416236413. The reversal of 45812416236401 is 10463261421854.

45812416236401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30906261235600 + 14906155000801 = 5559340^2 + 3860849^2 .

It is a cyclic number.

It is not a de Polignac number, because 45812416236401 - 2²⁶ = 45812349127537 is a prime.

It is not a weakly prime, because it can be changed into another prime (45812416236491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22906208118200 + 22906208118201.

It is an arithmetic number, because the mean of its divisors is an integer number (22906208118201).

Almost surely, 2^{45812416236401} is an apocalyptic number.

It is an amenable number.

45812416236401 is a deficient number, since it is larger than the sum of its proper divisors (1).

45812416236401 is an equidigital number, since it uses as much as digits as its factorization.

45812416236401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 45812416236401 in words is "forty-five trillion, eight hundred twelve billion, four hundred sixteen million, two hundred thirty-six thousand, four hundred one".