3363145196544 has 297 divisors, whose sum is σ = 11300620527417. Its totient is φ = 960546521088.

The previous prime is 3363145196507. The next prime is 3363145196557. The reversal of 3363145196544 is 4456915413633.

It is a happy number.

The square root of 3363145196544 is 1833888.

It is a perfect power (a square), and thus also a powerful number.

3363145196544 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 1 + 4 + 5 + 1 + 96 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3241036882944 + 122108313600 = 1800288^2 + 349440^2 .

It is a super-3 number, since 3×3363145196544³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1232371372 + ... + 1232374100.

Almost surely, 2^{3363145196544} is an apocalyptic number.

3363145196544 is the 1833888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363145196544

3363145196544 is an abundant number, since it is smaller than the sum of its proper divisors (7937475330873).

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

3363145196544 is an frugal number, since it uses more digits than its factorization.

3363145196544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 2741 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 3363145196544 in words is "three trillion, three hundred sixty-three billion, one hundred forty-five million, one hundred ninety-six thousand, five hundred forty-four".