16330820413312 has 128 divisors (see below), whose sum is σ = 34222242196800. Its totient is φ = 7747599974400.

The previous prime is 16330820413247. The next prime is 16330820413319. The reversal of 16330820413312 is 21331402803361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16330820413319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277757614 + ... + 277816402.

Almost surely, 2^{16330820413312} 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 16330820413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111121098400).

16330820413312 is an abundant number, since it is smaller than the sum of its proper divisors (17891421783488).

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

16330820413312 is a wasteful number, since it uses less digits than its factorization.

16330820413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59584 (or 59572 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 16330820413312 in words is "sixteen trillion, three hundred thirty billion, eight hundred twenty million, four hundred thirteen thousand, three hundred twelve".