13681991232000 has 4800 divisors, whose sum is σ = 66491173292544. Its totient is φ = 2732772556800.

The previous prime is 13681991231959. The next prime is 13681991232011. The reversal of 13681991232000 is 23219918631.

It is a happy number.

13681991232000 is a `hidden beast` number, since 136 + 8 + 199 + 1 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 141051455952 + ... + 141051456048.

Almost surely, 2^{13681991232000} is an apocalyptic number.

13681991232000 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 13681991232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33245586646272).

13681991232000 is an abundant number, since it is smaller than the sum of its proper divisors (52809182060544).

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

13681991232000 is an equidigital number, since it uses as much as digits as its factorization.

13681991232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13681991232000 in words is "thirteen trillion, six hundred eighty-one billion, nine hundred ninety-one million, two hundred thirty-two thousand".