13664015200 has 288 divisors, whose sum is σ = 38852200800. Its totient is φ = 4637491200.

The previous prime is 13664015147. The next prime is 13664015201. The reversal of 13664015200 is 251046631.

It is a super-2 number, since 2×13664015200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664015201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22290094 + ... + 22290706.

It is an arithmetic number, because the mean of its divisors is an integer number (134903475).

Almost surely, 2^13664015200 is an apocalyptic number.

13664015200 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 13664015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426100400).

13664015200 is an abundant number, since it is smaller than the sum of its proper divisors (25188185600).

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

13664015200 is a wasteful number, since it uses less digits than its factorization.

13664015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13664015200 in words is "thirteen billion, six hundred sixty-four million, fifteen thousand, two hundred".