11682348073857 has 32 divisors (see below), whose sum is σ = 18514172073600. Its totient is φ = 7254532675584.

The previous prime is 11682348073853. The next prime is 11682348073859. The reversal of 11682348073857 is 75837084328611.

It is a happy number.

11682348073857 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 3 + 480 + 73 + 85 + 7 = 666.

It is not a de Polignac number, because 11682348073857 - 2² = 11682348073853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11682348073794 and 11682348073803.

It is not an unprimeable number, because it can be changed into a prime (11682348073853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131150007 + ... + 131239052.

It is an arithmetic number, because the mean of its divisors is an integer number (578567877300).

Almost surely, 2^{11682348073857} is an apocalyptic number.

11682348073857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11682348073857 is a deficient number, since it is larger than the sum of its proper divisors (6831823999743).

11682348073857 is a wasteful number, since it uses less digits than its factorization.

11682348073857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262389182 (or 262389176 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 11682348073857 in words is "eleven trillion, six hundred eighty-two billion, three hundred forty-eight million, seventy-three thousand, eight hundred fifty-seven".