45205004302119 has 32 divisors (see below), whose sum is σ = 67357971595200. Its totient is φ = 29962659870720.

The previous prime is 45205004302103. The next prime is 45205004302123. The reversal of 45205004302119 is 91120340050254.

45205004302119 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 5 + 0 + 0 + 430 + 211 + 9 = 666.

45205004302119 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45205004302119 - 2⁴ = 45205004302103 is a prime.

It is a super-3 number, since 3×45205004302119³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45205008302119) 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 in 31 ways as a sum of consecutive naturals, for example, 1677714 + ... + 9655295.

It is an arithmetic number, because the mean of its divisors is an integer number (2104936612350).

Almost surely, 2^{45205004302119} is an apocalyptic number.

45205004302119 is a deficient number, since it is larger than the sum of its proper divisors (22152967293081).

45205004302119 is a wasteful number, since it uses less digits than its factorization.

45205004302119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333872 (or 11333866 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45205004302119 in words is "forty-five trillion, two hundred five billion, four million, three hundred two thousand, one hundred nineteen".