45583431345 has 64 divisors (see below), whose sum is σ = 81854976000. Its totient is φ = 24066859968.

The previous prime is 45583431323. The next prime is 45583431353. The reversal of 45583431345 is 54313438554.

45583431345 is a `hidden beast` number, since 4 + 5 + 583 + 4 + 31 + 34 + 5 = 666.

It is not a de Polignac number, because 45583431345 - 2⁷ = 45583431217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45583431345.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6883446 + ... + 6890064.

It is an arithmetic number, because the mean of its divisors is an integer number (1278984000).

Almost surely, 2^45583431345 is an apocalyptic number.

45583431345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45583431345 is a deficient number, since it is larger than the sum of its proper divisors (36271544655).

45583431345 is a wasteful number, since it uses less digits than its factorization.

45583431345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7133 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 45583431345 its reverse (54313438554), we get a palindrome (99896869899).

The spelling of 45583431345 in words is "forty-five billion, five hundred eighty-three million, four hundred thirty-one thousand, three hundred forty-five".