11240276257 has 48 divisors (see below), whose sum is σ = 14390634960. Its totient is φ = 8713162752.

The previous prime is 11240276237. The next prime is 11240276293. The reversal of 11240276257 is 75267204211.

It can be written as a sum of positive squares in 8 ways, for example, as 1062694801 + 10177581456 = 32599^2 + 100884^2 .

It is not a de Polignac number, because 11240276257 - 2⁷ = 11240276129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11240276207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5627583 + ... + 5629579.

It is an arithmetic number, because the mean of its divisors is an integer number (299804895).

Almost surely, 2^11240276257 is an apocalyptic number.

11240276257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11240276257 is a deficient number, since it is larger than the sum of its proper divisors (3150358703).

11240276257 is a wasteful number, since it uses less digits than its factorization.

11240276257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 11240276257 in words is "eleven billion, two hundred forty million, two hundred seventy-six thousand, two hundred fifty-seven".