13833648972 has 288 divisors, whose sum is σ = 43501086720. Its totient is φ = 3644144640.

The previous prime is 13833648949. The next prime is 13833648989. The reversal of 13833648972 is 27984633831.

13833648972 is a `hidden beast` number, since 13 + 83 + 3 + 6 + 489 + 72 = 666.

13833648972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22789893 + ... + 22790499.

It is an arithmetic number, because the mean of its divisors is an integer number (151045440).

Almost surely, 2^13833648972 is an apocalyptic number.

13833648972 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 13833648972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750543360).

13833648972 is an abundant number, since it is smaller than the sum of its proper divisors (29667437748).

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

13833648972 is a wasteful number, since it uses less digits than its factorization.

13833648972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 888 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 13833648972 in words is "thirteen billion, eight hundred thirty-three million, six hundred forty-eight thousand, nine hundred seventy-two".