13948996078688 has 144 divisors (see below), whose sum is σ = 31788674512560. Its totient is φ = 6004030095360.

The previous prime is 13948996078687. The next prime is 13948996078753. The reversal of 13948996078688 is 88687069984931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13948996078687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167178356 + ... + 167261772.

It is an arithmetic number, because the mean of its divisors is an integer number (220754684115).

Almost surely, 2^{13948996078688} 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 13948996078688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894337256280).

13948996078688 is an abundant number, since it is smaller than the sum of its proper divisors (17839678433872).

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

13948996078688 is a wasteful number, since it uses less digits than its factorization.

13948996078688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85741 (or 85722 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 86.

The spelling of 13948996078688 in words is "thirteen trillion, nine hundred forty-eight billion, nine hundred ninety-six million, seventy-eight thousand, six hundred eighty-eight".