13384078945632 has 192 divisors, whose sum is σ = 39154626624960. Its totient is φ = 4447913029632.

The previous prime is 13384078945621. The next prime is 13384078945639. The reversal of 13384078945632 is 23654987048331.

It is a happy number.

13384078945632 is a `hidden beast` number, since 1 + 3 + 3 + 84 + 0 + 78 + 9 + 456 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13384078945632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384078945639) 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 31 ways as a sum of consecutive naturals, for example, 1409290708 + ... + 1409300204.

It is an arithmetic number, because the mean of its divisors is an integer number (203930347005).

It is a 1-persistent number, because it is pandigital, but 2⋅13384078945632 = 26768157891264 is not.

Almost surely, 2^{13384078945632} is an apocalyptic number.

13384078945632 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 13384078945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577313312480).

13384078945632 is an abundant number, since it is smaller than the sum of its proper divisors (25770547679328).

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

13384078945632 is a wasteful number, since it uses less digits than its factorization.

13384078945632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 13384078945632 in words is "thirteen trillion, three hundred eighty-four billion, seventy-eight million, nine hundred forty-five thousand, six hundred thirty-two".