45313632 has 324 divisors, whose sum is σ = 170859780. Its totient is φ = 11321856.

The previous prime is 45313627. The next prime is 45313637. The reversal of 45313632 is 23631354.

It is a happy number.

45313632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45313627) and next prime (45313637).

It is a junction number, because it is equal to n+sod(n) for n = 45313596 and 45313605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45313637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384919 + ... + 2384937.

It is an arithmetic number, because the mean of its divisors is an integer number (527345).

Almost surely, 2^45313632 is an apocalyptic number.

45313632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85429890).

45313632 is an abundant number, since it is smaller than the sum of its proper divisors (125546148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45313632 is a wasteful number, since it uses less digits than its factorization.

45313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 45313632 is about 6731.5400912421. The cubic root of 45313632 is about 356.5137555532.

Adding to 45313632 its reverse (23631354), we get a palindrome (68944986).

The spelling of 45313632 in words is "forty-five million, three hundred thirteen thousand, six hundred thirty-two".