29491340331649 has 27 divisors (see below), whose sum is σ = 34418006703171. Its totient is φ = 25196213730240.

The previous prime is 29491340331611. The next prime is 29491340331671. The reversal of 29491340331649 is 94613304319492.

The square root of 29491340331649 is 5430593.

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

It can be written as a sum of positive squares in only one way, i.e., 18487789866049 + 11003550465600 = 4299743^2 + 3317160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-29491340331649 is a prime.

It is a super-2 number, since 2×29491340331649² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29491340331593 and 29491340331602.

It is not an unprimeable number, because it can be changed into a prime (29491340031649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13647079129 + ... + 13647081289.

Almost surely, 2^{29491340331649} is an apocalyptic number.

29491340331649 is the 5430593-rd square number.

29491340331649 is the 2715297-th centered octagonal number.

It is an amenable number.

29491340331649 is a deficient number, since it is larger than the sum of its proper divisors (4926666371522).

29491340331649 is an frugal number, since it uses more digits than its factorization.

29491340331649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 58.

The spelling of 29491340331649 in words is "twenty-nine trillion, four hundred ninety-one billion, three hundred forty million, three hundred thirty-one thousand, six hundred forty-nine".