214152304000 has 128 divisors (see below), whose sum is σ = 543766504320. Its totient is φ = 83838054400.

The previous prime is 214152303979. The next prime is 214152304013. The reversal of 214152304000 is 403251412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214152304000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609612 + ... + 894388.

It is an arithmetic number, because the mean of its divisors is an integer number (4248175815).

Almost surely, 2^214152304000 is an apocalyptic number.

214152304000 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 214152304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271883252160).

214152304000 is an abundant number, since it is smaller than the sum of its proper divisors (329614200320).

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

214152304000 is an equidigital number, since it uses as much as digits as its factorization.

214152304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284853 (or 284831 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 214152304000 its reverse (403251412), we get a palindrome (214555555412).

The spelling of 214152304000 in words is "two hundred fourteen billion, one hundred fifty-two million, three hundred four thousand".