216556968241152 has 2688 divisors, whose sum is σ = 886808288620800. Its totient is φ = 51100935782400.

The previous prime is 216556968241129. The next prime is 216556968241219. The reversal of 216556968241152 is 251142869655612.

216556968241152 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 5 + 6 + 96 + 82 + 411 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 216556968241152.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56675467402 + ... + 56675471222.

It is an arithmetic number, because the mean of its divisors is an integer number (329913797850).

Almost surely, 2^{216556968241152} is an apocalyptic number.

216556968241152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216556968241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443404144310400).

216556968241152 is an abundant number, since it is smaller than the sum of its proper divisors (670251320379648).

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

216556968241152 is a wasteful number, since it uses less digits than its factorization.

216556968241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3890 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 216556968241152 in words is "two hundred sixteen trillion, five hundred fifty-six billion, nine hundred sixty-eight million, two hundred forty-one thousand, one hundred fifty-two".