29272814649 has 81 divisors (see below), whose sum is σ = 47372339469. Its totient is φ = 17410423680.

The previous prime is 29272814639. The next prime is 29272814657. The reversal of 29272814649 is 94641827292.

It is a happy number.

The square root of 29272814649 is 171093.

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 19497933225 + 9774881424 = 139635^2 + 98868^2 .

It is not a de Polignac number, because 29272814649 - 2¹³ = 29272806457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29272814595 and 29272814604.

It is not an unprimeable number, because it can be changed into a prime (29272814609) 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, 273577654 + ... + 273577760.

Almost surely, 2^29272814649 is an apocalyptic number.

29272814649 is the 171093-rd square number.

29272814649 is the 85547-th centered octagonal number.

It is an amenable number.

29272814649 is a deficient number, since it is larger than the sum of its proper divisors (18099524820).

29272814649 is a wasteful number, since it uses less digits than its factorization.

29272814649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 29272814649 in words is "twenty-nine billion, two hundred seventy-two million, eight hundred fourteen thousand, six hundred forty-nine".