29710054180249 has 27 divisors (see below), whose sum is σ = 31953607456063. Its totient is φ = 27618356192192.

The previous prime is 29710054180201. The next prime is 29710054180253. The reversal of 29710054180249 is 94208145001792.

The square root of 29710054180249 is 5450693.

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

It can be written as a sum of positive squares in only one way, i.e., 23130665019225 + 6579389161024 = 4809435^2 + 2565032^2 .

It is not a de Polignac number, because 29710054180249 - 2²⁷ = 29709919962521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29710054180196 and 29710054180205.

It is not an unprimeable number, because it can be changed into a prime (29710054180649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7690925892 + ... + 7690929754.

Almost surely, 2^{29710054180249} is an apocalyptic number.

29710054180249 is the 5450693-rd square number.

29710054180249 is the 2725347-th centered octagonal number.

It is an amenable number.

29710054180249 is a deficient number, since it is larger than the sum of its proper divisors (2243553275814).

29710054180249 is an frugal number, since it uses more digits than its factorization.

29710054180249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7926 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 29710054180249 in words is "twenty-nine trillion, seven hundred ten billion, fifty-four million, one hundred eighty thousand, two hundred forty-nine".