29765066213169 has 45 divisors (see below), whose sum is σ = 51723868046697. Its totient is φ = 17008412858136.

The previous prime is 29765066213167. The next prime is 29765066213227. The reversal of 29765066213169 is 96131266056792.

The square root of 29765066213169 is 5455737.

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

29765066213169 is a `hidden beast` number, since 2 + 9 + 7 + 6 + 506 + 62 + 1 + 3 + 1 + 69 = 666.

It is not a de Polignac number, because 29765066213169 - 2¹ = 29765066213167 is a prime.

It is a super-2 number, since 2×29765066213169² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (29765066213167) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 343668132 + ... + 343754730.

Almost surely, 2^{29765066213169} is an apocalyptic number.

29765066213169 is the 5455737-th square number.

29765066213169 is the 2727869-th centered octagonal number.

It is an amenable number.

29765066213169 is a deficient number, since it is larger than the sum of its proper divisors (21958801833528).

29765066213169 is an frugal number, since it uses more digits than its factorization.

29765066213169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173224 (or 86609 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 29765066213169 in words is "twenty-nine trillion, seven hundred sixty-five billion, sixty-six million, two hundred thirteen thousand, one hundred sixty-nine".