214814720000 has 320 divisors, whose sum is σ = 569357856540. Its totient is φ = 80740352000.

The previous prime is 214814719943. The next prime is 214814720011. The reversal of 214814720000 is 27418412.

It can be written as a sum of positive squares in 10 ways, for example, as 39515078656 + 175299641344 = 198784^2 + 418688^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×214814720000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 348159692 + ... + 348160308.

Almost surely, 2^214814720000 is an apocalyptic number.

214814720000 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 214814720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284678928270).

214814720000 is an abundant number, since it is smaller than the sum of its proper divisors (354543136540).

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

214814720000 is an frugal number, since it uses more digits than its factorization.

214814720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The spelling of 214814720000 in words is "two hundred fourteen billion, eight hundred fourteen million, seven hundred twenty thousand".