216143491824 has 480 divisors, whose sum is σ = 714707380800. Its totient is φ = 62096025600.

The previous prime is 216143491813. The next prime is 216143491841. The reversal of 216143491824 is 428194341612.

216143491824 is a `hidden beast` number, since 2 + 1 + 614 + 3 + 4 + 9 + 1 + 8 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216143491824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156511614 + ... + 156512994.

It is an arithmetic number, because the mean of its divisors is an integer number (1488973710).

Almost surely, 2^216143491824 is an apocalyptic number.

216143491824 is a gapful number since it is divisible by the number (24) 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 216143491824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357353690400).

216143491824 is an abundant number, since it is smaller than the sum of its proper divisors (498563888976).

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

216143491824 is a wasteful number, since it uses less digits than its factorization.

216143491824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1459 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 216143491824 in words is "two hundred sixteen billion, one hundred forty-three million, four hundred ninety-one thousand, eight hundred twenty-four".