45774144 has 84 divisors (see below), whose sum is σ = 141318996. Its totient is φ = 14082048.

The previous prime is 45774133. The next prime is 45774161. The reversal of 45774144 is 44147754.

It is a happy number.

45774144 is a `hidden beast` number, since 4 + 577 + 41 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 30470400 = 3912^2 + 5520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45774099 and 45774108.

It is a congruent number.

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, 4432 + ... + 10544.

It is an arithmetic number, because the mean of its divisors is an integer number (1682369).

Almost surely, 2^45774144 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 45774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70659498).

45774144 is an abundant number, since it is smaller than the sum of its proper divisors (95544852).

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

45774144 is a wasteful number, since it uses less digits than its factorization.

45774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6131 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 45774144 is about 6765.6591696597. The cubic root of 45774144 is about 357.7174096101.

The spelling of 45774144 in words is "forty-five million, seven hundred seventy-four thousand, one hundred forty-four".