13632425652384 has 1728 divisors, whose sum is σ = 52655053860864. Its totient is φ = 3429216000000.

The previous prime is 13632425652319. The next prime is 13632425652407. The reversal of 13632425652384 is 48325652423631.

13632425652384 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 2 + 4 + 256 + 5 + 2 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13632425652384.

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 287 ways as a sum of consecutive naturals, for example, 18152364009 + ... + 18152364759.

It is an arithmetic number, because the mean of its divisors is an integer number (30471674688).

Almost surely, 2^{13632425652384} is an apocalyptic number.

13632425652384 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 13632425652384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327526930432).

13632425652384 is an abundant number, since it is smaller than the sum of its proper divisors (39022628208480).

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

13632425652384 is a wasteful number, since it uses less digits than its factorization.

13632425652384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 906 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 13632425652384 in words is "thirteen trillion, six hundred thirty-two billion, four hundred twenty-five million, six hundred fifty-two thousand, three hundred eighty-four".