214321250000 has 480 divisors, whose sum is σ = 620058959520. Its totient is φ = 71280000000.

The previous prime is 214321249993. The next prime is 214321250021. The reversal of 214321250000 is 52123412.

It can be written as a sum of positive squares in 16 ways, for example, as 65825086096 + 148496163904 = 256564^2 + 385352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1966249946 + ... + 1966250054.

It is an arithmetic number, because the mean of its divisors is an integer number (1291789499).

Almost surely, 2^214321250000 is an apocalyptic number.

214321250000 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 214321250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310029479760).

214321250000 is an abundant number, since it is smaller than the sum of its proper divisors (405737709520).

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

214321250000 is an equidigital number, since it uses as much as digits as its factorization.

214321250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 214321250000 its reverse (52123412), we get a palindrome (214373373412).

The spelling of 214321250000 in words is "two hundred fourteen billion, three hundred twenty-one million, two hundred fifty thousand".