9903564942049 has 9 divisors (see below), whose sum is σ = 10256937639897. Its totient is φ = 9561974586864.

The previous prime is 9903564941993. The next prime is 9903564942059. The reversal of 9903564942049 is 9402494653099.

It is a happy number.

The square root of 9903564942049 is 3146993.

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 1207152677025 + 8696412265024 = 1098705^2 + 2948968^2 .

It is not a de Polignac number, because 9903564942049 - 2²⁷ = 9903430724321 is a prime.

It is a super-2 number, since 2×9903564942049² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9903564942059) 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, 91208539 + ... + 91317055.

Almost surely, 2^{9903564942049} is an apocalyptic number.

9903564942049 is the 3146993-rd square number.

9903564942049 is the 1573497-th centered octagonal number.

It is an amenable number.

9903564942049 is a deficient number, since it is larger than the sum of its proper divisors (353372697848).

9903564942049 is an frugal number, since it uses more digits than its factorization.

9903564942049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217092 (or 108546 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 64.

Multiplying 9903564942049 by its sum of digits (64), we get a square (633828156291136 = 25175944²).

The spelling of 9903564942049 in words is "nine trillion, nine hundred three billion, five hundred sixty-four million, nine hundred forty-two thousand, forty-nine".