13271298492384 has 576 divisors, whose sum is σ = 42717362688000. Its totient is φ = 4037042903040.

The previous prime is 13271298492379. The next prime is 13271298492409. The reversal of 13271298492384 is 48329489217231.

13271298492384 is a `hidden beast` number, since 1 + 3 + 2 + 71 + 29 + 84 + 92 + 384 = 666.

It is a super-2 number, since 2×13271298492384² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1975186177 + ... + 1975192895.

It is an arithmetic number, because the mean of its divisors is an integer number (74162088000).

Almost surely, 2^{13271298492384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13271298492384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21358681344000).

13271298492384 is an abundant number, since it is smaller than the sum of its proper divisors (29446064195616).

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

13271298492384 is a wasteful number, since it uses less digits than its factorization.

13271298492384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7233 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 13271298492384 in words is "thirteen trillion, two hundred seventy-one billion, two hundred ninety-eight million, four hundred ninety-two thousand, three hundred eighty-four".