1097974952649 has 35 divisors (see below), whose sum is σ = 1654608387073. Its totient is φ = 728267650488.

The previous prime is 1097974952647. The next prime is 1097974952653. The reversal of 1097974952649 is 9462594797901.

The square root of 1097974952649 is 1047843.

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

1097974952649 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 97 + 4 + 9 + 526 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1011044327049 + 86930625600 = 1005507^2 + 294840^2 .

It is not a de Polignac number, because 1097974952649 - 2¹ = 1097974952647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1097974952647) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 5573476819 + ... + 5573477015.

Almost surely, 2^{1097974952649} is an apocalyptic number.

1097974952649 is the 1047843-rd square number.

1097974952649 is the 523922-nd centered octagonal number.

It is an amenable number.

1097974952649 is a deficient number, since it is larger than the sum of its proper divisors (556633434424).

1097974952649 is an frugal number, since it uses more digits than its factorization.

1097974952649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 1097974952649 in words is "one trillion, ninety-seven billion, nine hundred seventy-four million, nine hundred fifty-two thousand, six hundred forty-nine".