13835439433728 has 576 divisors, whose sum is σ = 44277309236160. Its totient is φ = 4127116492800.

The previous prime is 13835439433721. The next prime is 13835439433729. The reversal of 13835439433728 is 82733493453831.

It is a happy number.

13835439433728 is a `hidden beast` number, since 1 + 3 + 83 + 54 + 3 + 9 + 433 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13835439433728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13835439433721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3874386183 + ... + 3874389753.

It is an arithmetic number, because the mean of its divisors is an integer number (76870328535).

Almost surely, 2^{13835439433728} is an apocalyptic number.

13835439433728 is a gapful number since it is divisible by the number (18) 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 13835439433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138654618080).

13835439433728 is an abundant number, since it is smaller than the sum of its proper divisors (30441869802432).

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

13835439433728 is a wasteful number, since it uses less digits than its factorization.

13835439433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3881 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 13835439433728 in words is "thirteen trillion, eight hundred thirty-five billion, four hundred thirty-nine million, four hundred thirty-three thousand, seven hundred twenty-eight".