16431133120064 has 112 divisors (see below), whose sum is σ = 35714535225600. Its totient is φ = 7453865742336.

The previous prime is 16431133120043. The next prime is 16431133120067. The reversal of 16431133120064 is 46002133113461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16431133120067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352281257 + ... + 352327895.

It is an arithmetic number, because the mean of its divisors is an integer number (318879778800).

Almost surely, 2^{16431133120064} 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 16431133120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857267612800).

16431133120064 is an abundant number, since it is smaller than the sum of its proper divisors (19283402105536).

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

16431133120064 is a wasteful number, since it uses less digits than its factorization.

16431133120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53900 (or 53890 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 16431133120064 in words is "sixteen trillion, four hundred thirty-one billion, one hundred thirty-three million, one hundred twenty thousand, sixty-four".