57514144 has 48 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 27543040.

The previous prime is 57514139. The next prime is 57514157. The reversal of 57514144 is 44141575.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77037 + ... + 77779.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^57514144 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 57514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

57514144 is an abundant number, since it is smaller than the sum of its proper divisors (60603296).

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

57514144 is a wasteful number, since it uses less digits than its factorization.

57514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 57514144 is about 7583.8080144476. The cubic root of 57514144 is about 386.0037763508.

The spelling of 57514144 in words is "fifty-seven million, five hundred fourteen thousand, one hundred forty-four".