133829793392448 has 224 divisors, whose sum is σ = 357050065680000. Its totient is φ = 44239243935744.

The previous prime is 133829793392401. The next prime is 133829793392473. The reversal of 133829793392448 is 844293397928331.

133829793392448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133829793392448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9392216428 + ... + 9392230676.

It is an arithmetic number, because the mean of its divisors is an integer number (1593973507500).

Almost surely, 2^{133829793392448} 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 133829793392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178525032840000).

133829793392448 is an abundant number, since it is smaller than the sum of its proper divisors (223220272287552).

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

133829793392448 is a wasteful number, since it uses less digits than its factorization.

133829793392448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15359 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 75.

The spelling of 133829793392448 in words is "one hundred thirty-three trillion, eight hundred twenty-nine billion, seven hundred ninety-three million, three hundred ninety-two thousand, four hundred forty-eight".