541364871168 has 896 divisors, whose sum is σ = 1841648417280. Its totient is φ = 157659955200.

The previous prime is 541364871161. The next prime is 541364871181. The reversal of 541364871168 is 861178463145.

541364871168 is a `hidden beast` number, since 5 + 41 + 3 + 6 + 487 + 116 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541364871161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8080072671 + ... + 8080072737.

It is an arithmetic number, because the mean of its divisors is an integer number (2055411180).

Almost surely, 2^541364871168 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 541364871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920824208640).

541364871168 is an abundant number, since it is smaller than the sum of its proper divisors (1300283546112).

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

541364871168 is an frugal number, since it uses more digits than its factorization.

541364871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 541364871168 in words is "five hundred forty-one billion, three hundred sixty-four million, eight hundred seventy-one thousand, one hundred sixty-eight".