355485517056 has 108 divisors (see below), whose sum is σ = 1085243818932. Its totient is φ = 111524855808.

The previous prime is 355485517043. The next prime is 355485517061. The reversal of 355485517056 is 650715584553.

355485517056 is a `hidden beast` number, since 3 + 554 + 85 + 5 + 1 + 7 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166072550400 + 189412966656 = 407520^2 + 435216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355485516993 and 355485517011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4498791 + ... + 4577126.

It is an arithmetic number, because the mean of its divisors is an integer number (10048553879).

Almost surely, 2^355485517056 is an apocalyptic number.

355485517056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

355485517056 is an abundant number, since it is smaller than the sum of its proper divisors (729758301876).

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

355485517056 is a wasteful number, since it uses less digits than its factorization.

355485517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075956 (or 9075939 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 355485517056 in words is "three hundred fifty-five billion, four hundred eighty-five million, five hundred seventeen thousand, fifty-six".