355421331218304 has 384 divisors, whose sum is σ = 1128958393137120. Its totient is φ = 106630842286080.

The previous prime is 355421331218243. The next prime is 355421331218321. The reversal of 355421331218304 is 403812133124553.

It is a happy number.

355421331218304 is a `hidden beast` number, since 3 + 5 + 5 + 4 + 2 + 1 + 331 + 2 + 1 + 8 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 355421331218304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057781592 + ... + 1058117544.

Almost surely, 2^{355421331218304} 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 355421331218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564479196568560).

355421331218304 is an abundant number, since it is smaller than the sum of its proper divisors (773537061918816).

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

355421331218304 is a wasteful number, since it uses less digits than its factorization.

355421331218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337750 (or 337735 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 355421331218304 in words is "three hundred fifty-five trillion, four hundred twenty-one billion, three hundred thirty-one million, two hundred eighteen thousand, three hundred four".