13488230400 has 468 divisors, whose sum is σ = 47180553168. Its totient is φ = 3399024640.

The previous prime is 13488230383. The next prime is 13488230419. The reversal of 13488230400 is 403288431.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162508759 + ... + 162508841.

Almost surely, 2^13488230400 is an apocalyptic number.

13488230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13488230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590276584).

13488230400 is an abundant number, since it is smaller than the sum of its proper divisors (33692322768).

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

13488230400 is an equidigital number, since it uses as much as digits as its factorization.

13488230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 13488230400 in words is "thirteen billion, four hundred eighty-eight million, two hundred thirty thousand, four hundred".