2653846257969 has 45 divisors (see below), whose sum is σ = 3983910079611. Its totient is φ = 1760560965360.

The previous prime is 2653846257917. The next prime is 2653846257977. The reversal of 2653846257969 is 9697526483562.

The square root of 2653846257969 is 1629063.

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

2653846257969 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 8 + 46 + 2 + 579 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148552430625 + 2505293827344 = 385425^2 + 1582812^2 .

It is not a de Polignac number, because 2653846257969 - 2²¹ = 2653844160817 is a prime.

It is a super-2 number, since 2×2653846257969² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2653846257897 and 2653846257906.

It is not an unprimeable number, because it can be changed into a prime (2653846957969) 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 44 ways as a sum of consecutive naturals, for example, 4647716454 + ... + 4647717024.

Almost surely, 2^{2653846257969} is an apocalyptic number.

2653846257969 is the 1629063-rd square number.

2653846257969 is the 814532-nd centered octagonal number.

It is an amenable number.

2653846257969 is a deficient number, since it is larger than the sum of its proper divisors (1330063821642).

2653846257969 is an frugal number, since it uses more digits than its factorization.

2653846257969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 891 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 2653846257969 in words is "two trillion, six hundred fifty-three billion, eight hundred forty-six million, two hundred fifty-seven thousand, nine hundred sixty-nine".