13990381776000 has 512 divisors, whose sum is σ = 58892857920000. Its totient is φ = 3197800857600.

The previous prime is 13990381775911. The next prime is 13990381776017. The reversal of 13990381776000 is 67718309931.

13990381776000 is a `hidden beast` number, since 13 + 9 + 9 + 0 + 3 + 8 + 17 + 7 + 600 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 710776 + ... + 5337224.

It is an arithmetic number, because the mean of its divisors is an integer number (115025113125).

Almost surely, 2^{13990381776000} is an apocalyptic number.

13990381776000 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 13990381776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29446428960000).

13990381776000 is an abundant number, since it is smaller than the sum of its proper divisors (44902476144000).

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

13990381776000 is an equidigital number, since it uses as much as digits as its factorization.

13990381776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626494 (or 4626466 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 13990381776000 in words is "thirteen trillion, nine hundred ninety billion, three hundred eighty-one million, seven hundred seventy-six thousand".