541633644416001 has 8 divisors (see below), whose sum is σ = 728569150011360. Its totient is φ = 357893617548992.

The previous prime is 541633644415999. The next prime is 541633644416063. The reversal of 541633644416001 is 100614446336145.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 541633644416001 - 2¹ = 541633644415999 is a prime.

It is a super-2 number, since 2×541633644416001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541633644416701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798869681691 + ... + 798869682368.

It is an arithmetic number, because the mean of its divisors is an integer number (91071143751420).

Almost surely, 2^{541633644416001} is an apocalyptic number.

It is an amenable number.

541633644416001 is a deficient number, since it is larger than the sum of its proper divisors (186935505595359).

541633644416001 is a wasteful number, since it uses less digits than its factorization.

541633644416001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597739364175.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 541633644416001 in words is "five hundred forty-one trillion, six hundred thirty-three billion, six hundred forty-four million, four hundred sixteen thousand, one".