13735416832 has 44 divisors (see below), whose sum is σ = 29072599380. Its totient is φ = 6463717376.

The previous prime is 13735416811. The next prime is 13735416833. The reversal of 13735416832 is 23861453731.

It can be written as a sum of positive squares in 2 ways, for example, as 10869313536 + 2866103296 = 104256^2 + 53536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735416833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377107 + ... + 411922.

It is an arithmetic number, because the mean of its divisors is an integer number (660740895).

Almost surely, 2^13735416832 is an apocalyptic number.

It is an amenable number.

13735416832 is an abundant number, since it is smaller than the sum of its proper divisors (15337182548).

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

13735416832 is an equidigital number, since it uses as much as digits as its factorization.

13735416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789066 (or 789048 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 13735416832 in words is "thirteen billion, seven hundred thirty-five million, four hundred sixteen thousand, eight hundred thirty-two".