45105234595407 has 144 divisors (see below), whose sum is σ = 78588936504000. Its totient is φ = 24826540290048.

The previous prime is 45105234595357. The next prime is 45105234595417. The reversal of 45105234595407 is 70459543250154.

45105234595407 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 5 + 2 + 3 + 4 + 595 + 40 + 7 = 666.

45105234595407 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 45105234595407 - 2¹⁰ = 45105234594383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105234595417) 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 143 ways as a sum of consecutive naturals, for example, 16172545969 + ... + 16172548757.

It is an arithmetic number, because the mean of its divisors is an integer number (545756503500).

Almost surely, 2^{45105234595407} is an apocalyptic number.

45105234595407 is a deficient number, since it is larger than the sum of its proper divisors (33483701908593).

45105234595407 is a wasteful number, since it uses less digits than its factorization.

45105234595407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 45105234595407 in words is "forty-five trillion, one hundred five billion, two hundred thirty-four million, five hundred ninety-five thousand, four hundred seven".