13008623488 has 128 divisors (see below), whose sum is σ = 30407832000. Its totient is φ = 5540935680.

The previous prime is 13008623471. The next prime is 13008623491. The reversal of 13008623488 is 88432680031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13008623488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7945806 + ... + 7947442.

Almost surely, 2^13008623488 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 13008623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203916000).

13008623488 is an abundant number, since it is smaller than the sum of its proper divisors (17399208512).

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

13008623488 is an equidigital number, since it uses as much as digits as its factorization.

13008623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 13008623488 in words is "thirteen billion, eight million, six hundred twenty-three thousand, four hundred eighty-eight".