11682348073824 has 96 divisors (see below), whose sum is σ = 30730816972800. Its totient is φ = 3885912576000.

The previous prime is 11682348073811. The next prime is 11682348073853. The reversal of 11682348073824 is 42837084328611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118134352 + ... + 118233200.

It is an arithmetic number, because the mean of its divisors is an integer number (320112676800).

Almost surely, 2^{11682348073824} is an apocalyptic number.

It is an amenable number.

11682348073824 is an abundant number, since it is smaller than the sum of its proper divisors (19048468898976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11682348073824 is a wasteful number, since it uses less digits than its factorization.

11682348073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101444 (or 101436 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 11682348073824 in words is "eleven trillion, six hundred eighty-two billion, three hundred forty-eight million, seventy-three thousand, eight hundred twenty-four".