541581144 has 64 divisors (see below), whose sum is σ = 1461331200. Its totient is φ = 166271616.

The previous prime is 541581143. The next prime is 541581179. The reversal of 541581144 is 441185145.

541581144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541581143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161517 + ... + 164835.

It is an arithmetic number, because the mean of its divisors is an integer number (22833300).

Almost surely, 2^541581144 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 541581144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730665600).

541581144 is an abundant number, since it is smaller than the sum of its proper divisors (919750056).

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

541581144 is a wasteful number, since it uses less digits than its factorization.

541581144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3860 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 541581144 is about 23271.8960121431. The cubic root of 541581144 is about 815.1193040498.

The spelling of 541581144 in words is "five hundred forty-one million, five hundred eighty-one thousand, one hundred forty-four".