26662320892249 has 27 divisors (see below), whose sum is σ = 31139419235967. Its totient is φ = 22762363743504.

The previous prime is 26662320892237. The next prime is 26662320892303. The reversal of 26662320892249 is 94229802326662.

It is a happy number.

The square root of 26662320892249 is 5163557.

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., 4595514001225 + 22066806891024 = 2143715^2 + 4697532^2 .

It is not a de Polignac number, because 26662320892249 - 2¹³ = 26662320884057 is a prime.

It is a super-2 number, since 2×26662320892249² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26662320892219) 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, 10012135692 + ... + 10012138354.

Almost surely, 2^{26662320892249} is an apocalyptic number.

26662320892249 is the 5163557-th square number.

26662320892249 is the 2581779-th centered octagonal number.

It is an amenable number.

26662320892249 is a deficient number, since it is larger than the sum of its proper divisors (4477098343718).

26662320892249 is an frugal number, since it uses more digits than its factorization.

26662320892249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 26662320892249 in words is "twenty-six trillion, six hundred sixty-two billion, three hundred twenty million, eight hundred ninety-two thousand, two hundred forty-nine".