45542643280961 has 2 divisors, whose sum is σ = 45542643280962. Its totient is φ = 45542643280960.

The previous prime is 45542643280919. The next prime is 45542643280963. The reversal of 45542643280961 is 16908234624554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45280033153936 + 262610127025 = 6729044^2 + 512455^2 .

It is a cyclic number.

It is not a de Polignac number, because 45542643280961 - 2¹⁴ = 45542643264577 is a prime.

It is a Sophie Germain prime.

Together with 45542643280963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45542643280961.

It is not a weakly prime, because it can be changed into another prime (45542643280963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22771321640480 + 22771321640481.

It is an arithmetic number, because the mean of its divisors is an integer number (22771321640481).

Almost surely, 2^{45542643280961} is an apocalyptic number.

It is an amenable number.

45542643280961 is a deficient number, since it is larger than the sum of its proper divisors (1).

45542643280961 is an equidigital number, since it uses as much as digits as its factorization.

45542643280961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49766400, while the sum is 59.

The spelling of 45542643280961 in words is "forty-five trillion, five hundred forty-two billion, six hundred forty-three million, two hundred eighty thousand, nine hundred sixty-one".