133632423046416 has 320 divisors, whose sum is σ = 406497502494720. Its totient is φ = 37034278686720.

The previous prime is 133632423046411. The next prime is 133632423046433. The reversal of 133632423046416 is 614640324236331.

133632423046416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133632423046411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804660305 + ... + 1804734351.

It is an arithmetic number, because the mean of its divisors is an integer number (1270304695296).

Almost surely, 2^{133632423046416} is an apocalyptic number.

133632423046416 is a gapful number since it is divisible by the number (16) 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 133632423046416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203248751247360).

133632423046416 is an abundant number, since it is smaller than the sum of its proper divisors (272865079448304).

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

133632423046416 is a wasteful number, since it uses less digits than its factorization.

133632423046416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74862 (or 74856 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 133632423046416 in words is "one hundred thirty-three trillion, six hundred thirty-two billion, four hundred twenty-three million, forty-six thousand, four hundred sixteen".