216218112553656 has 128 divisors (see below), whose sum is σ = 601484226336000. Its totient is φ = 71967363152256.

The previous prime is 216218112553649. The next prime is 216218112553657. The reversal of 216218112553656 is 656355211812612.

216218112553656 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 81 + 1 + 2 + 553 + 6 + 5 + 6 = 666.

216218112553656 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 3×216218112553656³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216218112553657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506461935 + ... + 506888673.

It is an arithmetic number, because the mean of its divisors is an integer number (4699095518250).

Almost surely, 2^{216218112553656} is an apocalyptic number.

It is an amenable number.

216218112553656 is an abundant number, since it is smaller than the sum of its proper divisors (385266113782344).

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

216218112553656 is a wasteful number, since it uses less digits than its factorization.

216218112553656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430178 (or 430168 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 216218112553656 in words is "two hundred sixteen trillion, two hundred eighteen billion, one hundred twelve million, five hundred fifty-three thousand, six hundred fifty-six".