354534644081184 has 576 divisors, whose sum is σ = 1148732967191040. Its totient is φ = 95193712373760.

The previous prime is 354534644081161. The next prime is 354534644081231. The reversal of 354534644081184 is 481180446435453.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41529179764 + ... + 41529188300.

It is an arithmetic number, because the mean of its divisors is an integer number (1994328068040).

Almost surely, 2^{354534644081184} 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 354534644081184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574366483595520).

354534644081184 is an abundant number, since it is smaller than the sum of its proper divisors (794198323109856).

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

354534644081184 is a wasteful number, since it uses less digits than its factorization.

354534644081184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 60.

The spelling of 354534644081184 in words is "three hundred fifty-four trillion, five hundred thirty-four billion, six hundred forty-four million, eighty-one thousand, one hundred eighty-four".