45345629 has 16 divisors (see below), whose sum is σ = 53635200. Its totient is φ = 38314080.

The previous prime is 45345611. The next prime is 45345659. The reversal of 45345629 is 92654354.

It is not a de Polignac number, because 45345629 - 2²⁴ = 28568413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45345592 and 45345601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45345659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24134 + ... + 25944.

It is an arithmetic number, because the mean of its divisors is an integer number (3352200).

Almost surely, 2^45345629 is an apocalyptic number.

45345629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45345629 is a deficient number, since it is larger than the sum of its proper divisors (8289571).

45345629 is an equidigital number, since it uses as much as digits as its factorization.

45345629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1891 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 45345629 is about 6733.9163196464. The cubic root of 45345629 is about 356.5976500031.

The spelling of 45345629 in words is "forty-five million, three hundred forty-five thousand, six hundred twenty-nine".