13068916224 has 720 divisors, whose sum is σ = 47276692848. Its totient is φ = 3177086976.

The previous prime is 13068916183. The next prime is 13068916241. The reversal of 13068916224 is 42261986031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 353213934 + ... + 353213970.

Almost surely, 2^13068916224 is an apocalyptic number.

13068916224 is a gapful number since it is divisible by the number (14) 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 13068916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23638346424).

13068916224 is an abundant number, since it is smaller than the sum of its proper divisors (34207776624).

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

13068916224 is a wasteful number, since it uses less digits than its factorization.

13068916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 13068916224 in words is "thirteen billion, sixty-eight million, nine hundred sixteen thousand, two hundred twenty-four".