214013320320 has 64 divisors (see below), whose sum is σ = 682167464640. Its totient is φ = 57070218240.

The previous prime is 214013320319. The next prime is 214013320349. The reversal of 214013320320 is 23023310412.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55730716 + ... + 55734555.

It is an arithmetic number, because the mean of its divisors is an integer number (10658866635).

Almost surely, 2^214013320320 is an apocalyptic number.

214013320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214013320320 is an abundant number, since it is smaller than the sum of its proper divisors (468154144320).

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

214013320320 is a wasteful number, since it uses less digits than its factorization.

214013320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111465293 (or 111465281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 214013320320 its reverse (23023310412), we get a palindrome (237036630732).

The spelling of 214013320320 in words is "two hundred fourteen billion, thirteen million, three hundred twenty thousand, three hundred twenty".