13968184320 has 528 divisors, whose sum is σ = 51144213120. Its totient is φ = 3654844416.

The previous prime is 13968184301. The next prime is 13968184379. The reversal of 13968184320 is 2348186931.

13968184320 is a `hidden beast` number, since 139 + 6 + 81 + 8 + 432 + 0 = 666.

It is a super-2 number, since 2×13968184320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128148426 + ... + 128148534.

It is an arithmetic number, because the mean of its divisors is an integer number (96864040).

Almost surely, 2^13968184320 is an apocalyptic number.

13968184320 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 13968184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25572106560).

13968184320 is an abundant number, since it is smaller than the sum of its proper divisors (37176028800).

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

13968184320 is a wasteful number, since it uses less digits than its factorization.

13968184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13968184320 in words is "thirteen billion, nine hundred sixty-eight million, one hundred eighty-four thousand, three hundred twenty".