355945805064 has 144 divisors (see below), whose sum is σ = 1040267854080. Its totient is φ = 109828635840.

The previous prime is 355945805053. The next prime is 355945805069. The reversal of 355945805064 is 460508549553.

355945805064 is a `hidden beast` number, since 3 + 5 + 5 + 9 + 4 + 580 + 50 + 6 + 4 = 666.

It is a super-2 number, since 2×355945805064² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355945805064.

It is not an unprimeable number, because it can be changed into a prime (355945805069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1029997 + ... + 1331459.

It is an arithmetic number, because the mean of its divisors is an integer number (7224082320).

Almost surely, 2^355945805064 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 355945805064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520133927040).

355945805064 is an abundant number, since it is smaller than the sum of its proper divisors (684322049016).

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

355945805064 is a wasteful number, since it uses less digits than its factorization.

355945805064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301552 (or 301522 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 355945805064 in words is "three hundred fifty-five billion, nine hundred forty-five million, eight hundred five thousand, sixty-four".