45630144 has 84 divisors (see below), whose sum is σ = 149488144. Its totient is φ = 13036032.

The previous prime is 45630131. The next prime is 45630199. The reversal of 45630144 is 44103654.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×45630144² = 4164220082921472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627 + ... + 9690.

Almost surely, 2^45630144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74744072).

45630144 is an abundant number, since it is smaller than the sum of its proper divisors (103858000).

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

45630144 is a wasteful number, since it uses less digits than its factorization.

45630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45630144 is about 6755.0088082844. The cubic root of 45630144 is about 357.3419034602.

Adding to 45630144 its reverse (44103654), we get a palindrome (89733798).

The spelling of 45630144 in words is "forty-five million, six hundred thirty thousand, one hundred forty-four".