11917964688224 has 48 divisors (see below), whose sum is σ = 26870483259648. Its totient is φ = 5097211016832.

The previous prime is 11917964688209. The next prime is 11917964688233. The reversal of 11917964688224 is 42288646971911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54516374 + ... + 54734549.

It is an arithmetic number, because the mean of its divisors is an integer number (559801734576).

Almost surely, 2^{11917964688224} is an apocalyptic number.

11917964688224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11917964688224 is an abundant number, since it is smaller than the sum of its proper divisors (14952518571424).

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

11917964688224 is a wasteful number, since it uses less digits than its factorization.

11917964688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109251427 (or 109251419 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 68.

The spelling of 11917964688224 in words is "eleven trillion, nine hundred seventeen billion, nine hundred sixty-four million, six hundred eighty-eight thousand, two hundred twenty-four".