13468139753728 has 144 divisors (see below), whose sum is σ = 30459452792832. Its totient is φ = 5888049408000.

The previous prime is 13468139753723. The next prime is 13468139753729. The reversal of 13468139753728 is 82735793186431.

13468139753728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13468139753723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13755993 + ... + 14702503.

It is an arithmetic number, because the mean of its divisors is an integer number (211523977728).

Almost surely, 2^{13468139753728} 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 13468139753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229726396416).

13468139753728 is an abundant number, since it is smaller than the sum of its proper divisors (16991313039104).

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

13468139753728 is a wasteful number, since it uses less digits than its factorization.

13468139753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946732 (or 946718 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 13468139753728 in words is "thirteen trillion, four hundred sixty-eight billion, one hundred thirty-nine million, seven hundred fifty-three thousand, seven hundred twenty-eight".