11831721665148 has 144 divisors (see below), whose sum is σ = 38926876665600. Its totient is φ = 3073174443360.

The previous prime is 11831721665143. The next prime is 11831721665149. The reversal of 11831721665148 is 84156612713811.

11831721665148 is a `hidden beast` number, since 1 + 18 + 31 + 7 + 21 + 66 + 514 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11831721665094 and 11831721665103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831721665143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101567928 + ... + 101684351.

It is an arithmetic number, because the mean of its divisors is an integer number (270325532400).

Almost surely, 2^{11831721665148} is an apocalyptic number.

11831721665148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11831721665148 is an abundant number, since it is smaller than the sum of its proper divisors (27095155000452).

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

11831721665148 is a wasteful number, since it uses less digits than its factorization.

11831721665148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203252317 (or 203252302 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11831721665148 in words is "eleven trillion, eight hundred thirty-one billion, seven hundred twenty-one million, six hundred sixty-five thousand, one hundred forty-eight".