202220142314352 has 160 divisors (see below), whose sum is σ = 553325110640640. Its totient is φ = 63506667544320.

The previous prime is 202220142314263. The next prime is 202220142314363. The reversal of 202220142314352 is 253413241022202.

202220142314352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80199463 + ... + 82682489.

It is an arithmetic number, because the mean of its divisors is an integer number (3458281941504).

Almost surely, 2^{202220142314352} 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 202220142314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276662555320320).

202220142314352 is an abundant number, since it is smaller than the sum of its proper divisors (351104968326288).

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

202220142314352 is a wasteful number, since it uses less digits than its factorization.

202220142314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484171 (or 2484165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 202220142314352 its reverse (253413241022202), we get a palindrome (455633383336554).

The spelling of 202220142314352 in words is "two hundred two trillion, two hundred twenty billion, one hundred forty-two million, three hundred fourteen thousand, three hundred fifty-two".