13947184323072 has 3840 divisors, whose sum is σ = 59903045959680. Its totient is φ = 3105423360000.

The previous prime is 13947184323049. The next prime is 13947184323077. The reversal of 13947184323072 is 27032348174931.

13947184323072 is a `hidden beast` number, since 1 + 3 + 9 + 471 + 84 + 3 + 23 + 0 + 72 = 666.

13947184323072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13947184323077) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 228642365922 + ... + 228642365982.

It is an arithmetic number, because the mean of its divisors is an integer number (15599751552).

Almost surely, 2^{13947184323072} is an apocalyptic number.

13947184323072 is a gapful number since it is divisible by the number (12) 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 13947184323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29951522979840).

13947184323072 is an abundant number, since it is smaller than the sum of its proper divisors (45955861636608).

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

13947184323072 is a wasteful number, since it uses less digits than its factorization.

13947184323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13947184323072 in words is "thirteen trillion, nine hundred forty-seven billion, one hundred eighty-four million, three hundred twenty-three thousand, seventy-two".