29466125649 has 15 divisors (see below), whose sum is σ = 44019606763. Its totient is φ = 19643053824.

The previous prime is 29466125629. The next prime is 29466125657. The reversal of 29466125649 is 94652166492.

The square root of 29466125649 is 171657.

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

29466125649 is a `hidden beast` number, since 2 + 9 + 4 + 66 + 12 + 564 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 372683025 + 29093442624 = 19305^2 + 170568^2 .

It is not a de Polignac number, because 29466125649 - 2¹¹ = 29466123601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29466125595 and 29466125604.

It is not an unprimeable number, because it can be changed into a prime (29466125609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1535377 + ... + 1554449.

Almost surely, 2^29466125649 is an apocalyptic number.

29466125649 is the 171657-th square number.

29466125649 is the 85829-th centered octagonal number.

It is an amenable number.

29466125649 is a deficient number, since it is larger than the sum of its proper divisors (14553481114).

29466125649 is an frugal number, since it uses more digits than its factorization.

29466125649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38158 (or 19076 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 29466125649 in words is "twenty-nine billion, four hundred sixty-six million, one hundred twenty-five thousand, six hundred forty-nine".