16468546705344 has 280 divisors, whose sum is σ = 50220629616960. Its totient is φ = 5333489639424.

The previous prime is 16468546705339. The next prime is 16468546705417. The reversal of 16468546705344 is 44350764586461.

16468546705344 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 85 + 467 + 0 + 53 + 44 = 666.

16468546705344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33133092 + ... + 33626460.

Almost surely, 2^{16468546705344} 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 16468546705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110314808480).

16468546705344 is an abundant number, since it is smaller than the sum of its proper divisors (33752082911616).

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

16468546705344 is a wasteful number, since it uses less digits than its factorization.

16468546705344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493577 (or 493558 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 16468546705344 in words is "sixteen trillion, four hundred sixty-eight billion, five hundred forty-six million, seven hundred five thousand, three hundred forty-four".