45205904801 has 2 divisors, whose sum is σ = 45205904802. Its totient is φ = 45205904800.

The previous prime is 45205904759. The next prime is 45205904813. The reversal of 45205904801 is 10840950254.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40713554176 + 4492350625 = 201776^2 + 67025^2 .

It is a cyclic number.

It is not a de Polignac number, because 45205904801 - 2¹⁴ = 45205888417 is a prime.

It is not a weakly prime, because it can be changed into another prime (45205904851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22602952400 + 22602952401.

It is an arithmetic number, because the mean of its divisors is an integer number (22602952401).

Almost surely, 2^45205904801 is an apocalyptic number.

It is an amenable number.

45205904801 is a deficient number, since it is larger than the sum of its proper divisors (1).

45205904801 is an equidigital number, since it uses as much as digits as its factorization.

45205904801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 45205904801 in words is "forty-five billion, two hundred five million, nine hundred four thousand, eight hundred one".