541335748608 has 528 divisors, whose sum is σ = 1727381747520. Its totient is φ = 162772549632.

The previous prime is 541335748523. The next prime is 541335748609. The reversal of 541335748608 is 806847533145.

541335748608 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 3 + 574 + 8 + 60 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (541335748609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12589203435 + ... + 12589203477.

It is an arithmetic number, because the mean of its divisors is an integer number (3271556340).

Almost surely, 2^541335748608 is an apocalyptic number.

541335748608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541335748608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863690873760).

541335748608 is an abundant number, since it is smaller than the sum of its proper divisors (1186045998912).

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

541335748608 is an frugal number, since it uses more digits than its factorization.

541335748608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 541335748608 in words is "five hundred forty-one billion, three hundred thirty-five million, seven hundred forty-eight thousand, six hundred eight".