13344525000 has 288 divisors, whose sum is σ = 45627079680. Its totient is φ = 3522960000.

The previous prime is 13344524983. The next prime is 13344525067. The reversal of 13344525000 is 52544331.

13344525000 is a `hidden beast` number, since 133 + 4 + 4 + 525 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28574767 + ... + 28575233.

It is an arithmetic number, because the mean of its divisors is an integer number (158427360).

Almost surely, 2^13344525000 is an apocalyptic number.

13344525000 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 13344525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813539840).

13344525000 is an abundant number, since it is smaller than the sum of its proper divisors (32282554680).

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

13344525000 is a wasteful number, since it uses less digits than its factorization.

13344525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 13344525000 in words is "thirteen billion, three hundred forty-four million, five hundred twenty-five thousand".