13235748902688 has 768 divisors, whose sum is σ = 42215551031808. Its totient is φ = 3592028160000.

The previous prime is 13235748902687. The next prime is 13235748902699. The reversal of 13235748902688 is 88620984753231.

It is not an unprimeable number, because it can be changed into a prime (13235748902687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2281629388 + ... + 2281635188.

It is an arithmetic number, because the mean of its divisors is an integer number (54968165406).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13235748902688 = 26471497805376, but 3⋅13235748902688 = 39707246708064 is not.

Almost surely, 2^{13235748902688} 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 13235748902688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21107775515904).

13235748902688 is an abundant number, since it is smaller than the sum of its proper divisors (28979802129120).

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

13235748902688 is a wasteful number, since it uses less digits than its factorization.

13235748902688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 13235748902688 in words is "thirteen trillion, two hundred thirty-five billion, seven hundred forty-eight million, nine hundred two thousand, six hundred eighty-eight".