26946553674049 has 9 divisors (see below), whose sum is σ = 27063915245283. Its totient is φ = 26829698915472.

The previous prime is 26946553674043. The next prime is 26946553674127. The reversal of 26946553674049 is 94047635564962.

The square root of 26946553674049 is 5191007.

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., 5472301097025 + 21474252577024 = 2339295^2 + 4634032^2 .

It is not a de Polignac number, because 26946553674049 - 2²³ = 26946545285441 is a prime.

It is a super-2 number, since 2×26946553674049² (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 (26946553674043) 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, 1209493492 + ... + 1209515770.

Almost surely, 2^{26946553674049} is an apocalyptic number.

26946553674049 is the 5191007-th square number.

26946553674049 is the 2595504-th centered octagonal number.

It is an amenable number.

26946553674049 is a deficient number, since it is larger than the sum of its proper divisors (117361571234).

26946553674049 is an frugal number, since it uses more digits than its factorization.

26946553674049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45024 (or 22512 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 70.

The spelling of 26946553674049 in words is "twenty-six trillion, nine hundred forty-six billion, five hundred fifty-three million, six hundred seventy-four thousand, forty-nine".