2046064185649 has 27 divisors (see below), whose sum is σ = 2271705969729. Its totient is φ = 1841448755520.

The previous prime is 2046064185647. The next prime is 2046064185667. The reversal of 2046064185649 is 9465814606402.

It is a happy number.

The square root of 2046064185649 is 1430407.

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 94086360225 + 1951977825424 = 306735^2 + 1397132^2 .

It is not a de Polignac number, because 2046064185649 - 2¹ = 2046064185647 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2046064185649.

It is not an unprimeable number, because it can be changed into a prime (2046064185643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1715057397 + ... + 1715058589.

Almost surely, 2^{2046064185649} is an apocalyptic number.

2046064185649 is the 1430407-th square number.

2046064185649 is the 715204-th centered octagonal number.

It is an amenable number.

2046064185649 is a deficient number, since it is larger than the sum of its proper divisors (225641784080).

2046064185649 is an frugal number, since it uses more digits than its factorization.

2046064185649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 2046064185649 in words is "two trillion, forty-six billion, sixty-four million, one hundred eighty-five thousand, six hundred forty-nine".