29997167519089 has 27 divisors (see below), whose sum is σ = 31968038347777. Its totient is φ = 28145300914016.

The previous prime is 29997167519041. The next prime is 29997167519119. The reversal of 29997167519089 is 98091576179992.

The square root of 29997167519089 is 5476967.

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 19975384400689 + 10021783118400 = 4469383^2 + 3165720^2 .

It is not a de Polignac number, because 29997167519089 - 2⁷ = 29997167518961 is a prime.

It is a super-2 number, since 2×29997167519089² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29997167519009) 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 26 ways as a sum of consecutive naturals, for example, 6676420527 + ... + 6676425019.

Almost surely, 2^{29997167519089} is an apocalyptic number.

29997167519089 is the 5476967-th square number.

29997167519089 is the 2738484-th centered octagonal number.

It is an amenable number.

29997167519089 is a deficient number, since it is larger than the sum of its proper divisors (1970870828688).

29997167519089 is an frugal number, since it uses more digits than its factorization.

29997167519089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 1388832480, while the sum is 82.

The spelling of 29997167519089 in words is "twenty-nine trillion, nine hundred ninety-seven billion, one hundred sixty-seven million, five hundred nineteen thousand, eighty-nine".