26337454792009 has 9 divisors (see below), whose sum is σ = 26366240815239. Its totient is φ = 26308700179200.

The previous prime is 26337454791959. The next prime is 26337454792037. The reversal of 26337454792009 is 90029745473362.

It is a happy number.

The square root of 26337454792009 is 5132003.

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., 20814353175625 + 5523101616384 = 4562275^2 + 2350128^2 .

It is not a de Polignac number, because 26337454792009 - 2¹⁹ = 26337454267721 is a prime.

It is a super-2 number, since 2×26337454792009² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26337454792069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5917197234 + ... + 5917201684.

Almost surely, 2^{26337454792009} is an apocalyptic number.

26337454792009 is the 5132003-rd square number.

26337454792009 is the 2566002-nd centered octagonal number.

It is an amenable number.

26337454792009 is a deficient number, since it is larger than the sum of its proper divisors (28786023230).

26337454792009 is an frugal number, since it uses more digits than its factorization.

26337454792009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 61.

The spelling of 26337454792009 in words is "twenty-six trillion, three hundred thirty-seven billion, four hundred fifty-four million, seven hundred ninety-two thousand, nine".