24294400234225 has 45 divisors (see below), whose sum is σ = 33141424091035. Its totient is φ = 17666485984400.

The previous prime is 24294400234213. The next prime is 24294400234241. The reversal of 24294400234225 is 52243200449242.

The square root of 24294400234225 is 4928935.

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., 8745984084321 + 15548416149904 = 2957361^2 + 3943148^2 .

It is a de Polignac number, because none of the positive numbers 2^k-24294400234225 is a prime.

It is a super-2 number, since 2×24294400234225² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2982001602 + ... + 2982009748.

Almost surely, 2^{24294400234225} is an apocalyptic number.

24294400234225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24294400234225 is the 4928935-th square number.

24294400234225 is the 2464468-th centered octagonal number.

It is an amenable number.

24294400234225 is a deficient number, since it is larger than the sum of its proper divisors (8847023856810).

24294400234225 is an frugal number, since it uses more digits than its factorization.

24294400234225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16348 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 24294400234225 in words is "twenty-four trillion, two hundred ninety-four billion, four hundred million, two hundred thirty-four thousand, two hundred twenty-five".