216412205564 has 48 divisors (see below), whose sum is σ = 388084494336. Its totient is φ = 105547147200.

The previous prime is 216412205561. The next prime is 216412205591. The reversal of 216412205564 is 465502214612.

216412205564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×216412205564³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216412205561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97437974 + ... + 97440194.

It is an arithmetic number, because the mean of its divisors is an integer number (8085093632).

Almost surely, 2^216412205564 is an apocalyptic number.

It is an amenable number.

216412205564 is a deficient number, since it is larger than the sum of its proper divisors (171672288772).

216412205564 is a wasteful number, since it uses less digits than its factorization.

216412205564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 216412205564 in words is "two hundred sixteen billion, four hundred twelve million, two hundred five thousand, five hundred sixty-four".