29997464993829 has 6 divisors (see below), whose sum is σ = 43329671657766. Its totient is φ = 19998309995880.

The previous prime is 29997464993827. The next prime is 29997464993857. The reversal of 29997464993829 is 92839946479992.

29997464993829 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 7 + 464 + 99 + 38 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16175599172100 + 13821865821729 = 4021890^2 + 3717777^2 .

It is not a de Polignac number, because 29997464993829 - 2¹ = 29997464993827 is a prime.

It is a super-4 number, since 4×29997464993829⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29997464993827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1666525832982 + ... + 1666525832999.

It is an arithmetic number, because the mean of its divisors is an integer number (7221611942961).

Almost surely, 2^{29997464993829} is an apocalyptic number.

It is an amenable number.

29997464993829 is a deficient number, since it is larger than the sum of its proper divisors (13332206663937).

29997464993829 is a wasteful number, since it uses less digits than its factorization.

29997464993829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333051665987 (or 3333051665984 counting only the distinct ones).

The product of its digits is 34284321792, while the sum is 90.

The spelling of 29997464993829 in words is "twenty-nine trillion, nine hundred ninety-seven billion, four hundred sixty-four million, nine hundred ninety-three thousand, eight hundred twenty-nine".