214513213024 has 48 divisors (see below), whose sum is σ = 460754360640. Its totient is φ = 97497861760.

The previous prime is 214513213021. The next prime is 214513213027. The reversal of 214513213024 is 420312315412.

It is an interprime number because it is at equal distance from previous prime (214513213021) and next prime (214513213027).

It is a junction number, because it is equal to n+sod(n) for n = 214513212983 and 214513213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214513213021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6763347 + ... + 6794989.

It is an arithmetic number, because the mean of its divisors is an integer number (9599049180).

Almost surely, 2^214513213024 is an apocalyptic number.

It is an amenable number.

214513213024 is an abundant number, since it is smaller than the sum of its proper divisors (246241147616).

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

214513213024 is a wasteful number, since it uses less digits than its factorization.

214513213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50923 (or 50915 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 214513213024 its reverse (420312315412), we get a palindrome (634825528436).

The spelling of 214513213024 in words is "two hundred fourteen billion, five hundred thirteen million, two hundred thirteen thousand, twenty-four".