3963113433049 has 9 divisors (see below), whose sum is σ = 3969056774973. Its totient is φ = 3957178986432.

The previous prime is 3963113433043. The next prime is 3963113433061. The reversal of 3963113433049 is 9403343113693.

The square root of 3963113433049 is 1990757.

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

It can be written as a sum of positive squares in 4 ways, for example, as 915533217225 + 3047580215824 = 956835^2 + 1745732^2 .

It is not a de Polignac number, because 3963113433049 - 2¹¹ = 3963113431001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3963113432993 and 3963113433011.

It is not an unprimeable number, because it can be changed into a prime (3963113433043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2008672827 + ... + 2008674799.

Almost surely, 2^{3963113433049} is an apocalyptic number.

3963113433049 is the 1990757-th square number.

3963113433049 is the 995379-th centered octagonal number.

It is an amenable number.

3963113433049 is a deficient number, since it is larger than the sum of its proper divisors (5943341924).

3963113433049 is an frugal number, since it uses more digits than its factorization.

3963113433049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 49.

Multiplying 3963113433049 by its sum of digits (49), we get a square (194192558219401 = 13935299²).

The spelling of 3963113433049 in words is "three trillion, nine hundred sixty-three billion, one hundred thirteen million, four hundred thirty-three thousand, forty-nine".