13824831680000 has 800 divisors, whose sum is σ = 39812134538880. Its totient is φ = 4741632000000.

The previous prime is 13824831679999. The next prime is 13824831680017. The reversal of 13824831680000 is 8613842831.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×13824831680000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28156479755 + ... + 28156480245.

Almost surely, 2^{13824831680000} is an apocalyptic number.

13824831680000 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 13824831680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906067269440).

13824831680000 is an abundant number, since it is smaller than the sum of its proper divisors (25987302858880).

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

13824831680000 is an equidigital number, since it uses as much as digits as its factorization.

13824831680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 13824831680000 in words is "thirteen trillion, eight hundred twenty-four billion, eight hundred thirty-one million, six hundred eighty thousand".