26548946689489 has 27 divisors (see below), whose sum is σ = 30959554959057. Its totient is φ = 22700314057344.

The previous prime is 26548946689481. The next prime is 26548946689621. The reversal of 26548946689489 is 98498664984562.

The square root of 26548946689489 is 5152567.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8483046529489 + 18065900160000 = 2912567^2 + 4250400^2 .

It is not a de Polignac number, because 26548946689489 - 2³ = 26548946689481 is a prime.

It is a super-2 number, since 2×26548946689489² (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 (26548946689481) 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, 22253936277 + ... + 22253937469.

Almost surely, 2^{26548946689489} is an apocalyptic number.

26548946689489 is the 5152567-th square number.

26548946689489 is the 2576284-th centered octagonal number.

It is an amenable number.

26548946689489 is a deficient number, since it is larger than the sum of its proper divisors (4410608269568).

26548946689489 is an frugal number, since it uses more digits than its factorization.

26548946689489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 1817 counting only the distinct ones).

The product of its digits is 51597803520, while the sum is 88.

The spelling of 26548946689489 in words is "twenty-six trillion, five hundred forty-eight billion, nine hundred forty-six million, six hundred eighty-nine thousand, four hundred eighty-nine".