214437343680 has 560 divisors, whose sum is σ = 882601374240. Its totient is φ = 49009508352.

The previous prime is 214437343663. The next prime is 214437343693. The reversal of 214437343680 is 86343734412.

214437343680 is a `hidden beast` number, since 2 + 144 + 3 + 73 + 436 + 8 + 0 = 666.

214437343680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20739472 + ... + 20749808.

Almost surely, 2^214437343680 is an apocalyptic number.

214437343680 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 214437343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441300687120).

214437343680 is an abundant number, since it is smaller than the sum of its proper divisors (668164030560).

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

214437343680 is an equidigital number, since it uses as much as digits as its factorization.

214437343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 214437343680 in words is "two hundred fourteen billion, four hundred thirty-seven million, three hundred forty-three thousand, six hundred eighty".