45564466401 has 12 divisors (see below), whose sum is σ = 66102746580. Its totient is φ = 30243661920.

The previous prime is 45564466391. The next prime is 45564466439. The reversal of 45564466401 is 10466446554.

45564466401 is a `hidden beast` number, since 4 + 5 + 564 + 46 + 6 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34328678400 + 11235788001 = 185280^2 + 105999^2 .

It is not a de Polignac number, because 45564466401 - 2¹⁰ = 45564465377 is a prime.

It is a super-2 number, since 2×45564466401² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45564466481) 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 in 11 ways as a sum of consecutive naturals, for example, 11051910 + ... + 11056031.

It is an arithmetic number, because the mean of its divisors is an integer number (5508562215).

Almost surely, 2^45564466401 is an apocalyptic number.

It is an amenable number.

45564466401 is a deficient number, since it is larger than the sum of its proper divisors (20538280179).

45564466401 is a wasteful number, since it uses less digits than its factorization.

45564466401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22108176 (or 22108173 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 45564466401 in words is "forty-five billion, five hundred sixty-four million, four hundred sixty-six thousand, four hundred one".