54189416601 has 12 divisors (see below), whose sum is σ = 78299313300. Its totient is φ = 36114410880.

The previous prime is 54189416581. The next prime is 54189416627. The reversal of 54189416601 is 10661498145.

54189416601 is a `hidden beast` number, since 54 + 189 + 416 + 6 + 0 + 1 = 666.

54189416601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26074175625 + 28115240976 = 161475^2 + 167676^2 .

It is not a de Polignac number, because 54189416601 - 2¹³ = 54189408409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54189416681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959940 + ... + 1014821.

It is an arithmetic number, because the mean of its divisors is an integer number (6524942775).

Almost surely, 2^54189416601 is an apocalyptic number.

It is an amenable number.

54189416601 is a deficient number, since it is larger than the sum of its proper divisors (24109896699).

54189416601 is a wasteful number, since it uses less digits than its factorization.

54189416601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977816 (or 1977813 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 54189416601 in words is "fifty-four billion, one hundred eighty-nine million, four hundred sixteen thousand, six hundred one".