3318849576441 has 225 divisors, whose sum is σ = 6169362355871. Its totient is φ = 1784927503296.

The previous prime is 3318849576313. The next prime is 3318849576457. The reversal of 3318849576441 is 1446759488133.

The square root of 3318849576441 is 1821771.

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

3318849576441 is a `hidden beast` number, since 3 + 3 + 1 + 88 + 49 + 5 + 76 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2583879428025 + 734970148416 = 1607445^2 + 857304^2 .

It is not a de Polignac number, because 3318849576441 - 2⁷ = 3318849576313 is a prime.

It is a super-2 number, since 2×3318849576441² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

Its product of digits (69672960) is a multiple of the sum of its prime divisors (27).

It is not an unprimeable number, because it can be changed into a prime (3318849576461) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 195226445665 + ... + 195226445681.

Almost surely, 2^{3318849576441} is an apocalyptic number.

3318849576441 is the 1821771-st square number.

3318849576441 is the 910886-th centered octagonal number.

It is an amenable number.

3318849576441 is a deficient number, since it is larger than the sum of its proper divisors (2850512779430).

3318849576441 is an frugal number, since it uses more digits than its factorization.

3318849576441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 27 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 3318849576441 in words is "three trillion, three hundred eighteen billion, eight hundred forty-nine million, five hundred seventy-six thousand, four hundred forty-one".