13384958486400 has 1536 divisors, whose sum is σ = 55872023961600. Its totient is φ = 3109404672000.

The previous prime is 13384958486353. The next prime is 13384958486401. The reversal of 13384958486400 is 468485948331.

13384958486400 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 4 + 9 + 584 + 8 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×13384958486400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384958486401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1047248010 + ... + 1047260790.

It is an arithmetic number, because the mean of its divisors is an integer number (36375015600).

Almost surely, 2^{13384958486400} is an apocalyptic number.

13384958486400 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 13384958486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27936011980800).

13384958486400 is an abundant number, since it is smaller than the sum of its proper divisors (42487065475200).

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

13384958486400 is a wasteful number, since it uses less digits than its factorization.

13384958486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 13384958486400 in words is "thirteen trillion, three hundred eighty-four billion, nine hundred fifty-eight million, four hundred eighty-six thousand, four hundred".