541744913952 has 432 divisors, whose sum is σ = 1778921857440. Its totient is φ = 155072102400.

The previous prime is 541744913891. The next prime is 541744913999. The reversal of 541744913952 is 259319447145.

541744913952 is a `hidden beast` number, since 5 + 4 + 1 + 74 + 491 + 39 + 52 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 733077999 + ... + 733078737.

It is an arithmetic number, because the mean of its divisors is an integer number (4117874670).

Almost surely, 2^541744913952 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 541744913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889460928720).

541744913952 is an abundant number, since it is smaller than the sum of its proper divisors (1237176943488).

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

541744913952 is a wasteful number, since it uses less digits than its factorization.

541744913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1415 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 541744913952 in words is "five hundred forty-one billion, seven hundred forty-four million, nine hundred thirteen thousand, nine hundred fifty-two".