16780181081664 has 1344 divisors, whose sum is σ = 64630909469952. Its totient is φ = 3763784908800.

The previous prime is 16780181081633. The next prime is 16780181081689. The reversal of 16780181081664 is 46618018108761.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3956654584 + ... + 3956658824.

It is an arithmetic number, because the mean of its divisors is an integer number (48088474308).

Almost surely, 2^{16780181081664} is an apocalyptic number.

16780181081664 is a gapful number since it is divisible by the number (14) 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 16780181081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32315454734976).

16780181081664 is an abundant number, since it is smaller than the sum of its proper divisors (47850728388288).

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

16780181081664 is a wasteful number, since it uses less digits than its factorization.

16780181081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 16780181081664 in words is "sixteen trillion, seven hundred eighty billion, one hundred eighty-one million, eighty-one thousand, six hundred sixty-four".