29993671258641 has 10 divisors (see below), whose sum is σ = 44805360769202. Its totient is φ = 19995780839040.

The previous prime is 29993671258631. The next prime is 29993671258651. The reversal of 29993671258641 is 14685217639992.

29993671258641 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 36 + 7 + 1 + 2 + 586 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (29993671258631) and next prime (29993671258651).

It can be written as a sum of positive squares in only one way, i.e., 28400532516225 + 1593138742416 = 5329215^2 + 1262196^2 .

It is not a de Polignac number, because 29993671258641 - 2⁵ = 29993671258609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29993671258641.

It is not an unprimeable number, because it can be changed into a prime (29993671258631) 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 9 ways as a sum of consecutive naturals, for example, 185146118800 + ... + 185146118961.

Almost surely, 2^{29993671258641} is an apocalyptic number.

It is an amenable number.

29993671258641 is a deficient number, since it is larger than the sum of its proper divisors (14811689510561).

29993671258641 is an equidigital number, since it uses as much as digits as its factorization.

29993671258641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370292237773 (or 370292237764 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 29993671258641 in words is "twenty-nine trillion, nine hundred ninety-three billion, six hundred seventy-one million, two hundred fifty-eight thousand, six hundred forty-one".