11682348073825 has 96 divisors (see below), whose sum is σ = 17082695387520. Its totient is φ = 7813238323200.

The previous prime is 11682348073811. The next prime is 11682348073853. The reversal of 11682348073825 is 52837084328611.

It is not a de Polignac number, because 11682348073825 - 2¹⁵ = 11682348041057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11682348073825.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068143757 + ... + 1068154693.

It is an arithmetic number, because the mean of its divisors is an integer number (177944743620).

Almost surely, 2^{11682348073825} is an apocalyptic number.

It is an amenable number.

11682348073825 is a deficient number, since it is larger than the sum of its proper divisors (5400347313695).

11682348073825 is a wasteful number, since it uses less digits than its factorization.

11682348073825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 11682348073825 in words is "eleven trillion, six hundred eighty-two billion, three hundred forty-eight million, seventy-three thousand, eight hundred twenty-five".