16904246421744 has 960 divisors, whose sum is σ = 57565664133120. Its totient is φ = 4576636753920.

The previous prime is 16904246421709. The next prime is 16904246421823. The reversal of 16904246421744 is 44712464240961.

16904246421744 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 4 + 2 + 464 + 2 + 174 + 4 = 666.

It is a congruent number.

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, 3419832937 + ... + 3419837879.

It is an arithmetic number, because the mean of its divisors is an integer number (59964233472).

Almost surely, 2^{16904246421744} 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 16904246421744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28782832066560).

16904246421744 is an abundant number, since it is smaller than the sum of its proper divisors (40661417711376).

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

16904246421744 is a wasteful number, since it uses less digits than its factorization.

16904246421744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 16904246421744 in words is "sixteen trillion, nine hundred four billion, two hundred forty-six million, four hundred twenty-one thousand, seven hundred forty-four".