13948801931008 has 288 divisors, whose sum is σ = 33428363512320. Its totient is φ = 5684576993280.

The previous prime is 13948801930991. The next prime is 13948801931041. The reversal of 13948801931008 is 80013910884931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13948801931008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676754623 + ... + 676775233.

It is an arithmetic number, because the mean of its divisors is an integer number (116070706640).

Almost surely, 2^{13948801931008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13948801931008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714181756160).

13948801931008 is an abundant number, since it is smaller than the sum of its proper divisors (19479561581312).

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

13948801931008 is a wasteful number, since it uses less digits than its factorization.

13948801931008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20903 (or 20889 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 13948801931008 in words is "thirteen trillion, nine hundred forty-eight billion, eight hundred one million, nine hundred thirty-one thousand, eight".