29867634986641 has 9 divisors (see below), whose sum is σ = 29958373318449. Its totient is φ = 29777170706304.

The previous prime is 29867634986603. The next prime is 29867634986669. The reversal of 29867634986641 is 14668943676892.

The square root of 29867634986641 is 5465129.

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

It can be written as a sum of positive squares in 4 ways, for example, as 223094684241 + 29644540302400 = 472329^2 + 5444680^2 .

It is not a de Polignac number, because 29867634986641 - 2²⁵ = 29867601432209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29867634986341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1841740365 + ... + 1841756581.

Almost surely, 2^{29867634986641} is an apocalyptic number.

29867634986641 is the 5465129-th square number.

29867634986641 is the 2732565-th centered octagonal number.

It is an amenable number.

29867634986641 is a deficient number, since it is larger than the sum of its proper divisors (90738331808).

29867634986641 is an frugal number, since it uses more digits than its factorization.

29867634986641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33108 (or 16554 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 79.

The spelling of 29867634986641 in words is "twenty-nine trillion, eight hundred sixty-seven billion, six hundred thirty-four million, nine hundred eighty-six thousand, six hundred forty-one".