13473411333984 has 768 divisors, whose sum is σ = 47175117373440. Its totient is φ = 3660174397440.

The previous prime is 13473411333919. The next prime is 13473411334001. The reversal of 13473411333984 is 48933311437431.

13473411333984 is a `hidden beast` number, since 1 + 3 + 473 + 4 + 1 + 133 + 39 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13473411333984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5740693899 + ... + 5740696245.

It is an arithmetic number, because the mean of its divisors is an integer number (61425934080).

Almost surely, 2^{13473411333984} is an apocalyptic number.

13473411333984 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 13473411333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587558686720).

13473411333984 is an abundant number, since it is smaller than the sum of its proper divisors (33701706039456).

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

13473411333984 is a wasteful number, since it uses less digits than its factorization.

13473411333984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2914 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 13473411333984 in words is "thirteen trillion, four hundred seventy-three billion, four hundred eleven million, three hundred thirty-three thousand, nine hundred eighty-four".