11829987117333 has 108 divisors (see below), whose sum is σ = 22798885191264. Its totient is φ = 5878253858400.

The previous prime is 11829987117259. The next prime is 11829987117371. The reversal of 11829987117333 is 33371178992811.

11829987117333 is a `hidden beast` number, since 1 + 1 + 8 + 299 + 8 + 7 + 1 + 1 + 7 + 333 = 666.

It is not a de Polignac number, because 11829987117333 - 2⁹ = 11829987116821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11829987117433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3592203 + ... + 6046808.

It is an arithmetic number, because the mean of its divisors is an integer number (211100788808).

Almost surely, 2^{11829987117333} is an apocalyptic number.

It is an amenable number.

11829987117333 is a deficient number, since it is larger than the sum of its proper divisors (10968898073931).

11829987117333 is a wasteful number, since it uses less digits than its factorization.

11829987117333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639076 (or 9639055 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 11829987117333 in words is "eleven trillion, eight hundred twenty-nine billion, nine hundred eighty-seven million, one hundred seventeen thousand, three hundred thirty-three".