45940755116777 has 2 divisors, whose sum is σ = 45940755116778. Its totient is φ = 45940755116776.

The previous prime is 45940755116759. The next prime is 45940755116791. The reversal of 45940755116777 is 77761155704954.

45940755116777 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., 45778471828441 + 162283288336 = 6765979^2 + 402844^2 .

It is a cyclic number.

It is not a de Polignac number, because 45940755116777 - 2¹⁸ = 45940754854633 is a prime.

It is a super-2 number, since 2×45940755116777² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45940755116177) 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, 22970377558388 + 22970377558389.

It is an arithmetic number, because the mean of its divisors is an integer number (22970377558389).

Almost surely, 2^{45940755116777} is an apocalyptic number.

It is an amenable number.

45940755116777 is a deficient number, since it is larger than the sum of its proper divisors (1).

45940755116777 is an equidigital number, since it uses as much as digits as its factorization.

45940755116777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259308000, while the sum is 68.

The spelling of 45940755116777 in words is "forty-five trillion, nine hundred forty billion, seven hundred fifty-five million, one hundred sixteen thousand, seven hundred seventy-seven".