3315567661056 has 468 divisors, whose sum is σ = 11203407379164. Its totient is φ = 941978419200.

The previous prime is 3315567661019. The next prime is 3315567661057. The reversal of 3315567661056 is 6501667655133.

3315567661056 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 567 + 66 + 10 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239332294656 + 3076235366400 = 489216^2 + 1753920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3315567660993 and 3315567661011.

It is not an unprimeable number, because it can be changed into a prime (3315567661057) 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, 326941746 + ... + 326951886.

Almost surely, 2^{3315567661056} is an apocalyptic number.

3315567661056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3315567661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601703689582).

3315567661056 is an abundant number, since it is smaller than the sum of its proper divisors (7887839718108).

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

3315567661056 is a wasteful number, since it uses less digits than its factorization.

3315567661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 3315567661056 in words is "three trillion, three hundred fifteen billion, five hundred sixty-seven million, six hundred sixty-one thousand, fifty-six".