214400352000 has 144 divisors (see below), whose sum is σ = 712131088032. Its totient is φ = 57173401600.

The previous prime is 214400351983. The next prime is 214400352017. The reversal of 214400352000 is 253004412.

214400352000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214400351983) and next prime (214400352017).

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, 1020669 + ... + 1212668.

It is an arithmetic number, because the mean of its divisors is an integer number (4945354778).

Almost surely, 2^214400352000 is an apocalyptic number.

214400352000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214400352000 is an abundant number, since it is smaller than the sum of its proper divisors (497730736032).

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

214400352000 is an equidigital number, since it uses as much as digits as its factorization.

214400352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233371 (or 2233347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 214400352000 its reverse (253004412), we get a palindrome (214653356412).

The spelling of 214400352000 in words is "two hundred fourteen billion, four hundred million, three hundred fifty-two thousand".