214351223314400 has 288 divisors, whose sum is σ = 551085311095200. Its totient is φ = 81294914355200.

The previous prime is 214351223314399. The next prime is 214351223314457. The reversal of 214351223314400 is 4413322153412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304384240 + ... + 1304548560.

It is an arithmetic number, because the mean of its divisors is an integer number (1913490663525).

Almost surely, 2^{214351223314400} is an apocalyptic number.

214351223314400 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 214351223314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275542655547600).

214351223314400 is an abundant number, since it is smaller than the sum of its proper divisors (336734087780800).

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

214351223314400 is a wasteful number, since it uses less digits than its factorization.

214351223314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165382 (or 165369 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 214351223314400 its reverse (4413322153412), we get a palindrome (218764545467812).

The spelling of 214351223314400 in words is "two hundred fourteen trillion, three hundred fifty-one billion, two hundred twenty-three million, three hundred fourteen thousand, four hundred".