26437788449361 has 81 divisors (see below), whose sum is σ = 41596875742513. Its totient is φ = 16177239298560.

The previous prime is 26437788449341. The next prime is 26437788449381. The reversal of 26437788449361 is 16394488773462.

The square root of 26437788449361 is 5141769.

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

26437788449361 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 7 + 78 + 8 + 4 + 493 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (26437788449341) and next prime (26437788449381).

It can be written as a sum of positive squares in 4 ways, for example, as 1862528915025 + 24575259534336 = 1364745^2 + 4957344^2 .

It is not a de Polignac number, because 26437788449361 - 2³⁵ = 26403428710993 is a prime.

It is a super-2 number, since 2×26437788449361² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 26437788449361.

It is not an unprimeable number, because it can be changed into a prime (26437788449341) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10751437750 + ... + 10751440208.

Almost surely, 2^{26437788449361} is an apocalyptic number.

26437788449361 is the 5141769-th square number.

26437788449361 is the 2570885-th centered octagonal number.

It is an amenable number.

26437788449361 is a deficient number, since it is larger than the sum of its proper divisors (15159087293152).

26437788449361 is an frugal number, since it uses more digits than its factorization.

26437788449361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 2520 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 26437788449361 in words is "twenty-six trillion, four hundred thirty-seven billion, seven hundred eighty-eight million, four hundred forty-nine thousand, three hundred sixty-one".