216552416602401 has 40 divisors (see below), whose sum is σ = 360408750159744. Its totient is φ = 128451465658080.

The previous prime is 216552416602399. The next prime is 216552416602409. The reversal of 216552416602401 is 104206614255612.

216552416602401 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 5 + 24 + 16 + 602 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 216552416602401 - 2¹ = 216552416602399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216552416602409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2585535130 + ... + 2585618883.

Almost surely, 2^{216552416602401} is an apocalyptic number.

It is an amenable number.

216552416602401 is a deficient number, since it is larger than the sum of its proper divisors (143856333557343).

216552416602401 is a wasteful number, since it uses less digits than its factorization.

216552416602401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171154083 (or 5171154074 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 216552416602401 in words is "two hundred sixteen trillion, five hundred fifty-two billion, four hundred sixteen million, six hundred two thousand, four hundred one".