13991832933120 has 2304 divisors, whose sum is σ = 59777679360000. Its totient is φ = 3096572903424.

The previous prime is 13991832933047. The next prime is 13991832933163. The reversal of 13991832933120 is 2133923819931.

13991832933120 is a `hidden beast` number, since 1 + 3 + 99 + 183 + 29 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62743645329 + ... + 62743645551.

Almost surely, 2^{13991832933120} is an apocalyptic number.

13991832933120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13991832933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888839680000).

13991832933120 is an abundant number, since it is smaller than the sum of its proper divisors (45785846426880).

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

13991832933120 is an equidigital number, since it uses as much as digits as its factorization.

13991832933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13991832933120 in words is "thirteen trillion, nine hundred ninety-one billion, eight hundred thirty-two million, nine hundred thirty-three thousand, one hundred twenty".