214853321744013 has 64 divisors (see below), whose sum is σ = 303678720000000. Its totient is φ = 134926078510080.

The previous prime is 214853321743969. The next prime is 214853321744077. The reversal of 214853321744013 is 310447123358412.

It is not a de Polignac number, because 214853321744013 - 2¹⁰ = 214853321742989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214853321744713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340046613 + ... + 340677861.

It is an arithmetic number, because the mean of its divisors is an integer number (4744980000000).

Almost surely, 2^{214853321744013} is an apocalyptic number.

It is an amenable number.

214853321744013 is a deficient number, since it is larger than the sum of its proper divisors (88825398255987).

214853321744013 is a wasteful number, since it uses less digits than its factorization.

214853321744013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631882.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 214853321744013 in words is "two hundred fourteen trillion, eight hundred fifty-three billion, three hundred twenty-one million, seven hundred forty-four thousand, thirteen".