3056364442512 has 800 divisors, whose sum is σ = 10098532224000. Its totient is φ = 887206763520.

The previous prime is 3056364442451. The next prime is 3056364442519. The reversal of 3056364442512 is 2152444636503.

3056364442512 is a `hidden beast` number, since 3 + 0 + 5 + 636 + 4 + 4 + 4 + 2 + 5 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3056364442519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6224774587 + ... + 6224775077.

It is an arithmetic number, because the mean of its divisors is an integer number (12623165280).

Almost surely, 2^{3056364442512} 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 3056364442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049266112000).

3056364442512 is an abundant number, since it is smaller than the sum of its proper divisors (7042167781488).

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

3056364442512 is a wasteful number, since it uses less digits than its factorization.

3056364442512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3056364442512 in words is "three trillion, fifty-six billion, three hundred sixty-four million, four hundred forty-two thousand, five hundred twelve".