3628144943361 has 189 divisors, whose sum is σ = 5941040145201. Its totient is φ = 2214316819728.

The previous prime is 3628144943351. The next prime is 3628144943389. The reversal of 3628144943361 is 1633494418263.

The square root of 3628144943361 is 1904769.

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

3628144943361 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 144 + 9 + 433 + 61 = 666.

It is not a de Polignac number, because 3628144943361 - 2¹⁹ = 3628144419073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3628144943298 and 3628144943307.

It is not an unprimeable number, because it can be changed into a prime (3628144943341) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 45925885320 + ... + 45925885398.

Almost surely, 2^{3628144943361} is an apocalyptic number.

3628144943361 is the 1904769-th square number.

3628144943361 is the 952385-th centered octagonal number.

It is an amenable number.

3628144943361 is a deficient number, since it is larger than the sum of its proper divisors (2312895201840).

3628144943361 is an frugal number, since it uses more digits than its factorization.

3628144943361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 148 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3628144943361 in words is "three trillion, six hundred twenty-eight billion, one hundred forty-four million, nine hundred forty-three thousand, three hundred sixty-one".