214252325532 has 192 divisors, whose sum is σ = 646918272000. Its totient is φ = 60052817664.

The previous prime is 214252325513. The next prime is 214252325533. The reversal of 214252325532 is 235523252412.

It is a happy number.

214252325532 is a `hidden beast` number, since 2 + 1 + 42 + 52 + 32 + 5 + 532 = 666.

214252325532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214252325533) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22698718 + ... + 22708154.

It is an arithmetic number, because the mean of its divisors is an integer number (3369366000).

Almost surely, 2^214252325532 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 214252325532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323459136000).

214252325532 is an abundant number, since it is smaller than the sum of its proper divisors (432665946468).

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

214252325532 is a wasteful number, since it uses less digits than its factorization.

214252325532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025 (or 10017 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 214252325532 its reverse (235523252412), we get a palindrome (449775577944).

The spelling of 214252325532 in words is "two hundred fourteen billion, two hundred fifty-two million, three hundred twenty-five thousand, five hundred thirty-two".