252021342332214 has 320 divisors, whose sum is σ = 748647311892480. Its totient is φ = 61526407472640.

The previous prime is 252021342332213. The next prime is 252021342332281. The reversal of 252021342332214 is 412233243120252.

252021342332214 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 1 + 3 + 423 + 3 + 221 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252021342332213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1477359 + ... + 22499450.

It is an arithmetic number, because the mean of its divisors is an integer number (2339522849664).

Almost surely, 2^{252021342332214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252021342332214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374323655946240).

252021342332214 is an abundant number, since it is smaller than the sum of its proper divisors (496625969560266).

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

252021342332214 is a wasteful number, since it uses less digits than its factorization.

252021342332214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23976897 (or 23976888 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 252021342332214 its reverse (412233243120252), we get a palindrome (664254585452466).

The spelling of 252021342332214 in words is "two hundred fifty-two trillion, twenty-one billion, three hundred forty-two million, three hundred thirty-two thousand, two hundred fourteen".