355234224214320 has 640 divisors, whose sum is σ = 1251413412986880. Its totient is φ = 82602828349440.

The previous prime is 355234224214297. The next prime is 355234224214349. The reversal of 355234224214320 is 23412422432553.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6543606217 + ... + 6543660503.

It is an arithmetic number, because the mean of its divisors is an integer number (1955333457792).

Almost surely, 2^{355234224214320} is an apocalyptic number.

355234224214320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355234224214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625706706493440).

355234224214320 is an abundant number, since it is smaller than the sum of its proper divisors (896179188772560).

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

355234224214320 is a wasteful number, since it uses less digits than its factorization.

355234224214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55393 (or 55387 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 355234224214320 its reverse (23412422432553), we get a palindrome (378646646646873).

The spelling of 355234224214320 in words is "three hundred fifty-five trillion, two hundred thirty-four billion, two hundred twenty-four million, two hundred fourteen thousand, three hundred twenty".