214242013244032 has 256 divisors, whose sum is σ = 464103692236800. Its totient is φ = 98118420922368.

The previous prime is 214242013243933. The next prime is 214242013244057. The reversal of 214242013244032 is 230442310242412.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73953058008 + ... + 73953060904.

It is an arithmetic number, because the mean of its divisors is an integer number (1812905047800).

Almost surely, 2^{214242013244032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214242013244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232051846118400).

214242013244032 is an abundant number, since it is smaller than the sum of its proper divisors (249861678992768).

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

214242013244032 is a wasteful number, since it uses less digits than its factorization.

214242013244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 214242013244032 its reverse (230442310242412), we get a palindrome (444684323486444).

The spelling of 214242013244032 in words is "two hundred fourteen trillion, two hundred forty-two billion, thirteen million, two hundred forty-four thousand, thirty-two".