45641160 has 48 divisors (see below), whose sum is σ = 148334940. Its totient is φ = 12170880.

The previous prime is 45641129. The next prime is 45641179. The reversal of 45641160 is 6114654.

45641160 is a `hidden beast` number, since 4 + 5 + 641 + 16 + 0 = 666.

45641160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44435556 + 1205604 = 6666^2 + 1098^2 .

It is a super-2 number, since 2×45641160² = 4166230972291200, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 63031 + ... + 63750.

Almost surely, 2^45641160 is an apocalyptic number.

45641160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45641160 is an abundant number, since it is smaller than the sum of its proper divisors (102693780).

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

45641160 is a wasteful number, since it uses less digits than its factorization.

45641160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126798 (or 126791 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45641160 is about 6755.8241540170. The cubic root of 45641160 is about 357.3706575639.

It can be divided in two parts, 456 and 41160, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 45641160 in words is "forty-five million, six hundred forty-one thousand, one hundred sixty".