214113334602336 has 192 divisors, whose sum is σ = 606434422809600. Its totient is φ = 65755701835776.

The previous prime is 214113334602319. The next prime is 214113334602403. The reversal of 214113334602336 is 633206433311412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418654685 + ... + 1418805603.

It is an arithmetic number, because the mean of its divisors is an integer number (3158512618800).

Almost surely, 2^{214113334602336} is an apocalyptic number.

214113334602336 is a gapful number since it is divisible by the number (26) 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 214113334602336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303217211404800).

214113334602336 is an abundant number, since it is smaller than the sum of its proper divisors (392321088207264).

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

214113334602336 is a wasteful number, since it uses less digits than its factorization.

214113334602336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153101 (or 153093 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

Adding to 214113334602336 its reverse (633206433311412), we get a palindrome (847319767913748).

The spelling of 214113334602336 in words is "two hundred fourteen trillion, one hundred thirteen billion, three hundred thirty-four million, six hundred two thousand, three hundred thirty-six".