214255004000 has 48 divisors (see below), whose sum is σ = 526424554656. Its totient is φ = 85702000000.

The previous prime is 214255003997. The next prime is 214255004009. The reversal of 214255004000 is 400552412.

It is a happy number.

214255004000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214255004009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26777876 + ... + 26785875.

It is an arithmetic number, because the mean of its divisors is an integer number (10967178222).

Almost surely, 2^214255004000 is an apocalyptic number.

214255004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214255004000 is an abundant number, since it is smaller than the sum of its proper divisors (312169550656).

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

214255004000 is an equidigital number, since it uses as much as digits as its factorization.

214255004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53563776 (or 53563758 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 214255004000 its reverse (400552412), we get a palindrome (214655556412).

The spelling of 214255004000 in words is "two hundred fourteen billion, two hundred fifty-five million, four thousand".