13445252688 has 180 divisors, whose sum is σ = 41068472640. Its totient is φ = 3778774272.

The previous prime is 13445252641. The next prime is 13445252693. The reversal of 13445252688 is 88625254431.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1843200) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49982218 + ... + 49982486.

Almost surely, 2^13445252688 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 13445252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534236320).

13445252688 is an abundant number, since it is smaller than the sum of its proper divisors (27623219952).

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

13445252688 is an equidigital number, since it uses as much as digits as its factorization.

13445252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 360 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 13445252688 in words is "thirteen billion, four hundred forty-five million, two hundred fifty-two thousand, six hundred eighty-eight".