1968007762449 has 135 divisors (see below), whose sum is σ = 3201510071683. Its totient is φ = 1204526688768.

The previous prime is 1968007762429. The next prime is 1968007762481. The reversal of 1968007762449 is 9442677008691.

The square root of 1968007762449 is 1402857.

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

1968007762449 is a `hidden beast` number, since 1 + 9 + 68 + 0 + 0 + 77 + 62 + 449 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 92839043025 + 1875168719424 = 304695^2 + 1369368^2 .

It is not a de Polignac number, because 1968007762449 - 2⁵ = 1968007762417 is a prime.

It is a super-2 number, since 2×1968007762449² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1968007762429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11375767327 + ... + 11375767499.

Almost surely, 2^{1968007762449} is an apocalyptic number.

1968007762449 is the 1402857-th square number.

1968007762449 is the 701429-th centered octagonal number.

It is an amenable number.

1968007762449 is a deficient number, since it is larger than the sum of its proper divisors (1233502309234).

1968007762449 is an frugal number, since it uses more digits than its factorization.

1968007762449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1968007762449 in words is "one trillion, nine hundred sixty-eight billion, seven million, seven hundred sixty-two thousand, four hundred forty-nine".