541282186368 has 1280 divisors, whose sum is σ = 2084711904000. Its totient is φ = 138184704000.

The previous prime is 541282186343. The next prime is 541282186381. The reversal of 541282186368 is 863681282145.

541282186368 is a `hidden beast` number, since 5 + 41 + 28 + 218 + 6 + 368 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3950964796 + ... + 3950964932.

It is an arithmetic number, because the mean of its divisors is an integer number (1628681175).

Almost surely, 2^541282186368 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 541282186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042355952000).

541282186368 is an abundant number, since it is smaller than the sum of its proper divisors (1543429717632).

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

541282186368 is a wasteful number, since it uses less digits than its factorization.

541282186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 541282186368 in words is "five hundred forty-one billion, two hundred eighty-two million, one hundred eighty-six thousand, three hundred sixty-eight".