29288412663129 has 81 divisors (see below), whose sum is σ = 45353497417501. Its totient is φ = 18211615530240.

The previous prime is 29288412663127. The next prime is 29288412663151. The reversal of 29288412663129 is 92136621488292.

The square root of 29288412663129 is 5411877.

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

29288412663129 is a `hidden beast` number, since 2 + 9 + 288 + 41 + 266 + 31 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 624724256025 + 28663688407104 = 790395^2 + 5353848^2 .

It is not a de Polignac number, because 29288412663129 - 2¹ = 29288412663127 is a prime.

It is a super-2 number, since 2×29288412663129² (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 (29288412663127) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15310199077 + ... + 15310200989.

Almost surely, 2^{29288412663129} is an apocalyptic number.

29288412663129 is the 5411877-th square number.

29288412663129 is the 2705939-th centered octagonal number.

It is an amenable number.

29288412663129 is a deficient number, since it is larger than the sum of its proper divisors (16065084754372).

29288412663129 is an frugal number, since it uses more digits than its factorization.

29288412663129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 1980 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 29288412663129 in words is "twenty-nine trillion, two hundred eighty-eight billion, four hundred twelve million, six hundred sixty-three thousand, one hundred twenty-nine".