45777641 has 16 divisors (see below), whose sum is σ = 56504448. Its totient is φ = 36115200.

The previous prime is 45777623. The next prime is 45777647. The reversal of 45777641 is 14677754.

45777641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 45777641 - 2¹⁴ = 45761257 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45777647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51521 + ... + 52401.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2^45777641 is an apocalyptic number.

It is an amenable number.

45777641 is a deficient number, since it is larger than the sum of its proper divisors (10726807).

45777641 is a wasteful number, since it uses less digits than its factorization.

45777641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472.

The product of its digits is 164640, while the sum is 41.

The square root of 45777641 is about 6765.9176022178. The cubic root of 45777641 is about 357.7265188715.

The spelling of 45777641 in words is "forty-five million, seven hundred seventy-seven thousand, six hundred forty-one".