21824734173025 has 81 divisors (see below), whose sum is σ = 31761119650707. Its totient is φ = 14833565964000.

The previous prime is 21824734173007. The next prime is 21824734173037. The reversal of 21824734173025 is 52037143742812.

The square root of 21824734173025 is 4671695.

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., 7856904302289 + 13967829870736 = 2803017^2 + 3737356^2 .

It is not a de Polignac number, because 21824734173025 - 2⁷ = 21824734172897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21824734173025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20765683750 + ... + 20765684800.

Almost surely, 2^{21824734173025} is an apocalyptic number.

21824734173025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21824734173025 is the 4671695-th square number.

21824734173025 is the 2335848-th centered octagonal number.

It is an amenable number.

21824734173025 is a deficient number, since it is larger than the sum of its proper divisors (9936385477682).

21824734173025 is an frugal number, since it uses more digits than its factorization.

21824734173025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

21824734173025 divided by its sum of digits (49) gives a square (445402738225 = 667385²).

The spelling of 21824734173025 in words is "twenty-one trillion, eight hundred twenty-four billion, seven hundred thirty-four million, one hundred seventy-three thousand, twenty-five".