26123782766449 has 9 divisors (see below), whose sum is σ = 26849107695627. Its totient is φ = 25417550582424.

The previous prime is 26123782766381. The next prime is 26123782766503. The reversal of 26123782766449 is 94466728732162.

The square root of 26123782766449 is 5111143.

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., 23375919568225 + 2747863198224 = 4834865^2 + 1657668^2 .

It is not a de Polignac number, because 26123782766449 - 2²⁵ = 26123749212017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26123782761449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 189043222 + ... + 189181360.

It is an arithmetic number, because the mean of its divisors is an integer number (2983234188403).

Almost surely, 2^{26123782766449} is an apocalyptic number.

26123782766449 is the 5111143-rd square number.

26123782766449 is the 2555572-nd centered octagonal number.

It is an amenable number.

26123782766449 is a deficient number, since it is larger than the sum of its proper divisors (725324929178).

26123782766449 is an frugal number, since it uses more digits than its factorization.

26123782766449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276352 (or 138176 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 67.

The spelling of 26123782766449 in words is "twenty-six trillion, one hundred twenty-three billion, seven hundred eighty-two million, seven hundred sixty-six thousand, four hundred forty-nine".