45686144 has 32 divisors (see below), whose sum is σ = 104019600. Its totient is φ = 19579392.

The previous prime is 45686141. The next prime is 45686171. The reversal of 45686144 is 44168654.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 45686098 and 45686107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45686141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24599 + ... + 26390.

Almost surely, 2^45686144 is an apocalyptic number.

It is an amenable number.

45686144 is an abundant number, since it is smaller than the sum of its proper divisors (58333456).

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

45686144 is an equidigital number, since it uses as much as digits as its factorization.

45686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51010 (or 50998 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 45686144 is about 6759.1526096102. The cubic root of 45686144 is about 357.4880273755.

The spelling of 45686144 in words is "forty-five million, six hundred eighty-six thousand, one hundred forty-four".