355206311123904 has 168 divisors, whose sum is σ = 1028486583542912. Its totient is φ = 117199301552640.

The previous prime is 355206311123891. The next prime is 355206311123933. The reversal of 355206311123904 is 409321113602553.

355206311123904 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 0 + 631 + 1 + 1 + 2 + 3 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 355206311123904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129340719 + ... + 132058449.

Almost surely, 2^{355206311123904} 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 355206311123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514243291771456).

355206311123904 is an abundant number, since it is smaller than the sum of its proper divisors (673280272419008).

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

355206311123904 is a wasteful number, since it uses less digits than its factorization.

355206311123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720055 (or 2720042 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 355206311123904 in words is "three hundred fifty-five trillion, two hundred six billion, three hundred eleven million, one hundred twenty-three thousand, nine hundred four".