13832000150784 has 288 divisors, whose sum is σ = 38890615680000. Its totient is φ = 4352274726912.

The previous prime is 13832000150767. The next prime is 13832000150791. The reversal of 13832000150784 is 48705100023831.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9480465447 + ... + 9480466905.

It is an arithmetic number, because the mean of its divisors is an integer number (135036860000).

Almost surely, 2^{13832000150784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13832000150784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445307840000).

13832000150784 is an abundant number, since it is smaller than the sum of its proper divisors (25058615529216).

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

13832000150784 is a wasteful number, since it uses less digits than its factorization.

13832000150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13832000150784 in words is "thirteen trillion, eight hundred thirty-two billion, one hundred fifty thousand, seven hundred eighty-four".