13833720432 has 200 divisors, whose sum is σ = 46996489056. Its totient is φ = 3845574144.

The previous prime is 13833720401. The next prime is 13833720451. The reversal of 13833720432 is 23402733831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315058 + ... + 356270.

Almost surely, 2^13833720432 is an apocalyptic number.

13833720432 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 13833720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498244528).

13833720432 is an abundant number, since it is smaller than the sum of its proper divisors (33162768624).

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

13833720432 is a wasteful number, since it uses less digits than its factorization.

13833720432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41277 (or 41262 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13833720432 in words is "thirteen billion, eight hundred thirty-three million, seven hundred twenty thousand, four hundred thirty-two".