13783849968000 has 1024 divisors, whose sum is σ = 56119755294720. Its totient is φ = 2920926412800.

The previous prime is 13783849967929. The next prime is 13783849968037. The reversal of 13783849968000 is 86994838731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382685992 + ... + 382722008.

It is an arithmetic number, because the mean of its divisors is an integer number (54804448530).

Almost surely, 2^{13783849968000} is an apocalyptic number.

13783849968000 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 13783849968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28059877647360).

13783849968000 is an abundant number, since it is smaller than the sum of its proper divisors (42335905326720).

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

13783849968000 is a wasteful number, since it uses less digits than its factorization.

13783849968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36140 (or 36118 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 13783849968000 in words is "thirteen trillion, seven hundred eighty-three billion, eight hundred forty-nine million, nine hundred sixty-eight thousand".