541563366401008 has 80 divisors (see below), whose sum is σ = 1272366557614080. Its totient is φ = 217989681896448.

The previous prime is 541563366400961. The next prime is 541563366401119. The reversal of 541563366401008 is 800104663365145.

It is a super-3 number, since 3×541563366401008³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295992516 + ... + 297816547.

It is an arithmetic number, because the mean of its divisors is an integer number (15904581970176).

Almost surely, 2^{541563366401008} is an apocalyptic number.

It is an amenable number.

541563366401008 is an abundant number, since it is smaller than the sum of its proper divisors (730803191213072).

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

541563366401008 is a wasteful number, since it uses less digits than its factorization.

541563366401008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593809574 (or 593809568 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 541563366401008 in words is "five hundred forty-one trillion, five hundred sixty-three billion, three hundred sixty-six million, four hundred one thousand, eight".