9992913578649 has 27 divisors (see below), whose sum is σ = 14550512317887. Its totient is φ = 6608689534944.

The previous prime is 9992913578603. The next prime is 9992913578657. The reversal of 9992913578649 is 9468753192999.

The square root of 9992913578649 is 3161157.

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

9992913578649 is a `hidden beast` number, since 9 + 9 + 9 + 29 + 13 + 578 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9915980571225 + 76933007424 = 3148965^2 + 277368^2 .

It is not a de Polignac number, because 9992913578649 - 2²⁵ = 9992880024217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9992913578449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1204396669 + ... + 1204404965.

Almost surely, 2^{9992913578649} is an apocalyptic number.

9992913578649 is the 3161157-th square number.

9992913578649 is the 1580579-th centered octagonal number.

It is an amenable number.

9992913578649 is a deficient number, since it is larger than the sum of its proper divisors (4557598739238).

9992913578649 is an frugal number, since it uses more digits than its factorization.

9992913578649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16854 (or 8427 counting only the distinct ones).

The product of its digits is 2380855680, while the sum is 81.

Multiplying 9992913578649 by its sum of digits (81), we get a square (809425999870569 = 28450413²).

The spelling of 9992913578649 in words is "nine trillion, nine hundred ninety-two billion, nine hundred thirteen million, five hundred seventy-eight thousand, six hundred forty-nine".