29738208641 has 2 divisors, whose sum is σ = 29738208642. Its totient is φ = 29738208640.

The previous prime is 29738208611. The next prime is 29738208649. The reversal of 29738208641 is 14680283792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24047015041 + 5691193600 = 155071^2 + 75440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29738208641 is a prime.

It is a super-2 number, since 2×29738208641² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29738208641.

It is not a weakly prime, because it can be changed into another prime (29738208649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14869104320 + 14869104321.

It is an arithmetic number, because the mean of its divisors is an integer number (14869104321).

Almost surely, 2^29738208641 is an apocalyptic number.

It is an amenable number.

29738208641 is a deficient number, since it is larger than the sum of its proper divisors (1).

29738208641 is an equidigital number, since it uses as much as digits as its factorization.

29738208641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 29738208641 in words is "twenty-nine billion, seven hundred thirty-eight million, two hundred eight thousand, six hundred forty-one".