214341142554000 has 960 divisors, whose sum is σ = 982470766417920. Its totient is φ = 42194286720000.

The previous prime is 214341142553953. The next prime is 214341142554023. The reversal of 214341142554000 is 455241143412.

214341142554000 is a `hidden beast` number, since 2 + 1 + 43 + 41 + 14 + 25 + 540 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 22264335 + ... + 30403665.

It is an arithmetic number, because the mean of its divisors is an integer number (1023407048352).

Almost surely, 2^{214341142554000} is an apocalyptic number.

214341142554000 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 214341142554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491235383208960).

214341142554000 is an abundant number, since it is smaller than the sum of its proper divisors (768129623863920).

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

214341142554000 is a wasteful number, since it uses less digits than its factorization.

214341142554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139397 (or 8139378 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 214341142554000 its reverse (455241143412), we get a palindrome (214796383697412).

The spelling of 214341142554000 in words is "two hundred fourteen trillion, three hundred forty-one billion, one hundred forty-two million, five hundred fifty-four thousand".