29889914769 has 135 divisors (see below), whose sum is σ = 53122510077. Its totient is φ = 16182223200.

The previous prime is 29889914767. The next prime is 29889914779. The reversal of 29889914769 is 96741998892.

The square root of 29889914769 is 172887.

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

It can be written as a sum of positive squares in 2 ways, for example, as 14819897169 + 15070017600 = 121737^2 + 122760^2 .

It is not a de Polignac number, because 29889914769 - 2¹ = 29889914767 is a prime.

It is a super-2 number, since 2×29889914769² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29889914697 and 29889914706.

It is not an unprimeable number, because it can be changed into a prime (29889914767) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 964190784 + ... + 964190814.

Almost surely, 2^29889914769 is an apocalyptic number.

29889914769 is the 172887-th square number.

29889914769 is the 86444-th centered octagonal number.

It is an amenable number.

29889914769 is a deficient number, since it is larger than the sum of its proper divisors (23232595308).

29889914769 is an equidigital number, since it uses as much as digits as its factorization.

29889914769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 58 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 72.

The spelling of 29889914769 in words is "twenty-nine billion, eight hundred eighty-nine million, nine hundred fourteen thousand, seven hundred sixty-nine".