541638018432 has 192 divisors, whose sum is σ = 1875031891200. Its totient is φ = 146608745472.

The previous prime is 541638018407. The next prime is 541638018463. The reversal of 541638018432 is 234810836145.

541638018432 is a `hidden beast` number, since 5 + 4 + 1 + 638 + 0 + 1 + 8 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614348 + ... + 1920779.

It is an arithmetic number, because the mean of its divisors is an integer number (9765791100).

Almost surely, 2^541638018432 is an apocalyptic number.

It is an amenable number.

541638018432 is an abundant number, since it is smaller than the sum of its proper divisors (1333393872768).

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

541638018432 is a wasteful number, since it uses less digits than its factorization.

541638018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535173 (or 3535158 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 541638018432 in words is "five hundred forty-one billion, six hundred thirty-eight million, eighteen thousand, four hundred thirty-two".