214850227680 has 1536 divisors, whose sum is σ = 907141939200. Its totient is φ = 46929715200.

The previous prime is 214850227673. The next prime is 214850227817. The reversal of 214850227680 is 86722058412.

214850227680 is a `hidden beast` number, since 2 + 1 + 48 + 502 + 27 + 6 + 80 = 666.

214850227680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 2588556919 + ... + 2588557001.

It is an arithmetic number, because the mean of its divisors is an integer number (590587200).

Almost surely, 2^214850227680 is an apocalyptic number.

214850227680 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 214850227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453570969600).

214850227680 is an abundant number, since it is smaller than the sum of its proper divisors (692291711520).

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

214850227680 is a wasteful number, since it uses less digits than its factorization.

214850227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 214850227680 in words is "two hundred fourteen billion, eight hundred fifty million, two hundred twenty-seven thousand, six hundred eighty".