3646598894449 has 81 divisors (see below), whose sum is σ = 4464446474691. Its totient is φ = 2969820806400.

The previous prime is 3646598894377. The next prime is 3646598894453. The reversal of 3646598894449 is 9444988956463.

The square root of 3646598894449 is 1909607.

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

It can be written as a sum of positive squares in 13 ways, for example, as 368761064049 + 3277837830400 = 607257^2 + 1810480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3646598894449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3646598894749) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36104939499 + ... + 36104939599.

Almost surely, 2^{3646598894449} is an apocalyptic number.

3646598894449 is the 1909607-th square number.

3646598894449 is the 954804-th centered octagonal number.

It is an amenable number.

3646598894449 is a deficient number, since it is larger than the sum of its proper divisors (817847580242).

3646598894449 is an frugal number, since it uses more digits than its factorization.

3646598894449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 79.

The spelling of 3646598894449 in words is "three trillion, six hundred forty-six billion, five hundred ninety-eight million, eight hundred ninety-four thousand, four hundred forty-nine".