21592245249 has 45 divisors (see below), whose sum is σ = 33465120403. Its totient is φ = 13873770288.

The previous prime is 21592245229. The next prime is 21592245317. The reversal of 21592245249 is 94254229512.

The square root of 21592245249 is 146943.

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

21592245249 is a `hidden beast` number, since 2 + 1 + 592 + 2 + 4 + 52 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11322449649 + 10269795600 = 106407^2 + 101340^2 .

It is not a de Polignac number, because 21592245249 - 2⁷ = 21592245121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21592245229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38351842 + ... + 38352404.

Almost surely, 2^21592245249 is an apocalyptic number.

21592245249 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21592245249 is the 146943-rd square number.

21592245249 is the 73472-nd centered octagonal number.

It is an amenable number.

21592245249 is a deficient number, since it is larger than the sum of its proper divisors (11872875154).

21592245249 is an frugal number, since it uses more digits than its factorization.

21592245249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 595 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 21592245249 in words is "twenty-one billion, five hundred ninety-two million, two hundred forty-five thousand, two hundred forty-nine".