45344512121309 has 2 divisors, whose sum is σ = 45344512121310. Its totient is φ = 45344512121308.

The previous prime is 45344512121287. The next prime is 45344512121323. The reversal of 45344512121309 is 90312121544354.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41579154276100 + 3765357845209 = 6448190^2 + 1940453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45344512121309 is a prime.

It is a super-2 number, since 2×45344512121309² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45344512121309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45344512129309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22672256060654 + 22672256060655.

It is an arithmetic number, because the mean of its divisors is an integer number (22672256060655).

Almost surely, 2^{45344512121309} is an apocalyptic number.

It is an amenable number.

45344512121309 is a deficient number, since it is larger than the sum of its proper divisors (1).

45344512121309 is an equidigital number, since it uses as much as digits as its factorization.

45344512121309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 45344512121309 in words is "forty-five trillion, three hundred forty-four billion, five hundred twelve million, one hundred twenty-one thousand, three hundred nine".