214780841856 has 576 divisors, whose sum is σ = 783160634880. Its totient is φ = 55231266816.

The previous prime is 214780841801. The next prime is 214780841881. The reversal of 214780841856 is 658148087412.

214780841856 is a `hidden beast` number, since 2 + 147 + 80 + 8 + 418 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×214780841856² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 53599405 + ... + 53603411.

It is an arithmetic number, because the mean of its divisors is an integer number (1359653880).

Almost surely, 2^214780841856 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 214780841856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391580317440).

214780841856 is an abundant number, since it is smaller than the sum of its proper divisors (568379793024).

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

214780841856 is a wasteful number, since it uses less digits than its factorization.

214780841856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 214780841856 in words is "two hundred fourteen billion, seven hundred eighty million, eight hundred forty-one thousand, eight hundred fifty-six".