45714144 has 96 divisors (see below), whose sum is σ = 139587840. Its totient is φ = 12828672.

The previous prime is 45714107. The next prime is 45714169. The reversal of 45714144 is 44141754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39072 + ... + 40224.

It is an arithmetic number, because the mean of its divisors is an integer number (1454040).

Almost surely, 2^45714144 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 45714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69793920).

45714144 is an abundant number, since it is smaller than the sum of its proper divisors (93873696).

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

45714144 is a wasteful number, since it uses less digits than its factorization.

45714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 45714144 is about 6761.2235579073. The cubic root of 45714144 is about 357.5610445581.

Adding to 45714144 its reverse (44141754), we get a palindrome (89855898).

The spelling of 45714144 in words is "forty-five million, seven hundred fourteen thousand, one hundred forty-four".