216422384976 has 1200 divisors, whose sum is σ = 823372467456. Its totient is φ = 53604384768.

The previous prime is 216422384951. The next prime is 216422384989. The reversal of 216422384976 is 679483224612.

It is a happy number.

216422384976 is a `hidden beast` number, since 216 + 42 + 2 + 384 + 9 + 7 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2231158560 + ... + 2231158656.

Almost surely, 2^216422384976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216422384976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411686233728).

216422384976 is an abundant number, since it is smaller than the sum of its proper divisors (606950082480).

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

216422384976 is a wasteful number, since it uses less digits than its factorization.

216422384976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 216422384976 in words is "two hundred sixteen billion, four hundred twenty-two million, three hundred eighty-four thousand, nine hundred seventy-six".