353917790282056 has 256 divisors, whose sum is σ = 922023103680000. Its totient is φ = 122851682795520.

The previous prime is 353917790282039. The next prime is 353917790282083. The reversal of 353917790282056 is 650282097719353.

It is a junction number, because it is equal to n+sod(n) for n = 353917790281982 and 353917790282000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677159520 + ... + 677681968.

It is an arithmetic number, because the mean of its divisors is an integer number (3601652748750).

Almost surely, 2^{353917790282056} 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 353917790282056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461011551840000).

353917790282056 is an abundant number, since it is smaller than the sum of its proper divisors (568105313397944).

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

353917790282056 is a wasteful number, since it uses less digits than its factorization.

353917790282056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525432 (or 525428 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 353917790282056 in words is "three hundred fifty-three trillion, nine hundred seventeen billion, seven hundred ninety million, two hundred eighty-two thousand, fifty-six".