26890416246409 has 9 divisors (see below), whose sum is σ = 27003712712661. Its totient is φ = 26777593212480.

The previous prime is 26890416246359. The next prime is 26890416246461. The reversal of 26890416246409 is 90464261409862.

It is a happy number.

The square root of 26890416246409 is 5185597.

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 361447452025 + 26528968794384 = 601205^2 + 5150628^2 .

It is not a de Polignac number, because 26890416246409 - 2⁹ = 26890416245897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26890416246209) 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, 1249718119 + ... + 1249739635.

It is an arithmetic number, because the mean of its divisors is an integer number (3000412523629).

Almost surely, 2^{26890416246409} is an apocalyptic number.

26890416246409 is the 5185597-th square number.

26890416246409 is the 2592799-th centered octagonal number.

It is an amenable number.

26890416246409 is a deficient number, since it is larger than the sum of its proper divisors (113296466252).

26890416246409 is an frugal number, since it uses more digits than its factorization.

26890416246409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43516 (or 21758 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 61.

The spelling of 26890416246409 in words is "twenty-six trillion, eight hundred ninety billion, four hundred sixteen million, two hundred forty-six thousand, four hundred nine".