252022441151214 has 128 divisors (see below), whose sum is σ = 577314021703680. Its totient is φ = 81453180850272.

The previous prime is 252022441151197. The next prime is 252022441151227. The reversal of 252022441151214 is 412151144220252.

252022441151214 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 24 + 411 + 5 + 1 + 214 = 666.

It is a super-2 number, since 2×252022441151214² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 219576267 + ... + 220721049.

It is an arithmetic number, because the mean of its divisors is an integer number (4510265794560).

Almost surely, 2^{252022441151214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252022441151214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288657010851840).

252022441151214 is an abundant number, since it is smaller than the sum of its proper divisors (325291580552466).

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

252022441151214 is a wasteful number, since it uses less digits than its factorization.

252022441151214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145651 (or 1145645 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 252022441151214 its reverse (412151144220252), we get a palindrome (664173585371466).

The spelling of 252022441151214 in words is "two hundred fifty-two trillion, twenty-two billion, four hundred forty-one million, one hundred fifty-one thousand, two hundred fourteen".