355253502204144 has 200 divisors, whose sum is σ = 1045768867352000. Its totient is φ = 116408303691264.

The previous prime is 355253502204137. The next prime is 355253502204149. The reversal of 355253502204144 is 441402205352553.

355253502204144 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 5 + 3 + 5 + 0 + 220 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 355253502204144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355253502204149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15869922 + ... + 31021950.

It is an arithmetic number, because the mean of its divisors is an integer number (5228844336760).

Almost surely, 2^{355253502204144} 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 355253502204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522884433676000).

355253502204144 is an abundant number, since it is smaller than the sum of its proper divisors (690515365147856).

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

355253502204144 is a wasteful number, since it uses less digits than its factorization.

355253502204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152357 (or 15152342 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 355253502204144 its reverse (441402205352553), we get a palindrome (796655707556697).

The spelling of 355253502204144 in words is "three hundred fifty-five trillion, two hundred fifty-three billion, five hundred two million, two hundred four thousand, one hundred forty-four".