29908637516641 has 9 divisors (see below), whose sum is σ = 32386353112659. Its totient is φ = 27607907465736.

The previous prime is 29908637516633. The next prime is 29908637516689. The reversal of 29908637516641 is 14661573680992.

The square root of 29908637516641 is 5468879.

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., 4424354662225 + 25484282854416 = 2103415^2 + 5048196^2 .

It is not a de Polignac number, because 29908637516641 - 2³ = 29908637516633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29908637516621) 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 8 ways as a sum of consecutive naturals, for example, 70885086 + ... + 71305768.

It is a 1-persistent number, because it is pandigital, but 2⋅29908637516641 = 59817275033282 is not.

Almost surely, 2^{29908637516641} is an apocalyptic number.

29908637516641 is the 5468879-th square number.

29908637516641 is the 2734440-th centered octagonal number.

It is an amenable number.

29908637516641 is a deficient number, since it is larger than the sum of its proper divisors (2477715596018).

29908637516641 is an frugal number, since it uses more digits than its factorization.

29908637516641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841392 (or 420696 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 29908637516641 in words is "twenty-nine trillion, nine hundred eight billion, six hundred thirty-seven million, five hundred sixteen thousand, six hundred forty-one".