16048401984 has 336 divisors, whose sum is σ = 51099110400. Its totient is φ = 4792753152.

The previous prime is 16048401953. The next prime is 16048402009. The reversal of 16048401984 is 48910484061.

16048401984 is a `hidden beast` number, since 160 + 4 + 8 + 401 + 9 + 84 = 666.

16048401984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25926027 + ... + 25926645.

Almost surely, 2^16048401984 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 16048401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549555200).

16048401984 is an abundant number, since it is smaller than the sum of its proper divisors (35050708416).

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

16048401984 is a wasteful number, since it uses less digits than its factorization.

16048401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16048401984 in words is "sixteen billion, forty-eight million, four hundred one thousand, nine hundred eighty-four".