13983820810848 has 1152 divisors, whose sum is σ = 49975578132480. Its totient is φ = 3620520529920.

The previous prime is 13983820810847. The next prime is 13983820810877. The reversal of 13983820810848 is 84801802838931.

13983820810848 is a `hidden beast` number, since 1 + 398 + 38 + 208 + 1 + 0 + 8 + 4 + 8 = 666.

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 (13983820810847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23037595761 + ... + 23037596367.

It is an arithmetic number, because the mean of its divisors is an integer number (43381578240).

Almost surely, 2^{13983820810848} is an apocalyptic number.

13983820810848 is a gapful number since it is divisible by the number (18) 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 13983820810848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987789066240).

13983820810848 is an abundant number, since it is smaller than the sum of its proper divisors (35991757321632).

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

13983820810848 is a wasteful number, since it uses less digits than its factorization.

13983820810848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 13983820810848 in words is "thirteen trillion, nine hundred eighty-three billion, eight hundred twenty million, eight hundred ten thousand, eight hundred forty-eight".