541216368 has 360 divisors, whose sum is σ = 2028798720. Its totient is φ = 132814080.

The previous prime is 541216331. The next prime is 541216373. The reversal of 541216368 is 863612145.

It is a happy number.

541216368 is a `hidden beast` number, since 5 + 4 + 12 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×541216368² = 585830313982222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474521 + ... + 1474887.

It is an arithmetic number, because the mean of its divisors is an integer number (5635552).

Almost surely, 2^541216368 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 541216368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014399360).

541216368 is an abundant number, since it is smaller than the sum of its proper divisors (1487582352).

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

541216368 is a wasteful number, since it uses less digits than its factorization.

541216368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 541216368 is about 23264.0574277145. The cubic root of 541216368 is about 814.9362580783.

The spelling of 541216368 in words is "five hundred forty-one million, two hundred sixteen thousand, three hundred sixty-eight".