29948725249 has 9 divisors (see below), whose sum is σ = 30458472681. Its totient is φ = 29447379120.

The previous prime is 29948725187. The next prime is 29948725283. The reversal of 29948725249 is 94252784992.

The square root of 29948725249 is 173057.

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 26083865025 + 3864860224 = 161505^2 + 62168^2 .

It is not a de Polignac number, because 29948725249 - 2⁹ = 29948724737 is a prime.

It is a super-2 number, since 2×29948725249² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29948725049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10555059 + ... + 10557895.

Almost surely, 2^29948725249 is an apocalyptic number.

29948725249 is the 173057-th square number.

29948725249 is the 86529-th centered octagonal number.

It is an amenable number.

29948725249 is a deficient number, since it is larger than the sum of its proper divisors (509747432).

29948725249 is an frugal number, since it uses more digits than its factorization.

29948725249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 2898 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 29948725249 in words is "twenty-nine billion, nine hundred forty-eight million, seven hundred twenty-five thousand, two hundred forty-nine".