541164144 has 80 divisors (see below), whose sum is σ = 1425980160. Its totient is φ = 176816640.

The previous prime is 541164133. The next prime is 541164187. The reversal of 541164144 is 441461145.

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, 559149 + ... + 560115.

It is an arithmetic number, because the mean of its divisors is an integer number (17824752).

Almost surely, 2^541164144 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 541164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712990080).

541164144 is an abundant number, since it is smaller than the sum of its proper divisors (884816016).

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

541164144 is a wasteful number, since it uses less digits than its factorization.

541164144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 541164144 is about 23262.9349824995. The cubic root of 541164144 is about 814.9100451484.

The spelling of 541164144 in words is "five hundred forty-one million, one hundred sixty-four thousand, one hundred forty-four".