216838304280 has 768 divisors, whose sum is σ = 815173632000. Its totient is φ = 49578946560.

The previous prime is 216838304197. The next prime is 216838304299. The reversal of 216838304280 is 82403838612.

216838304280 is a `hidden beast` number, since 2 + 1 + 68 + 3 + 8 + 304 + 280 = 666.

216838304280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 465659²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1089639621 + ... + 1089639819.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424000).

Almost surely, 2^216838304280 is an apocalyptic number.

216838304280 is a gapful number since it is divisible by the number (20) 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 216838304280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816000).

216838304280 is an abundant number, since it is smaller than the sum of its proper divisors (598335327720).

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

216838304280 is a wasteful number, since it uses less digits than its factorization.

216838304280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 216838304280 in words is "two hundred sixteen billion, eight hundred thirty-eight million, three hundred four thousand, two hundred eighty".