16904248808832 has 3072 divisors, whose sum is σ = 70008883200000. Its totient is φ = 3968745984000.

The previous prime is 16904248808771. The next prime is 16904248808857. The reversal of 16904248808832 is 23880884240961.

16904248808832 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 42 + 488 + 0 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 16904248808832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 238088011357 + ... + 238088011427.

It is an arithmetic number, because the mean of its divisors is an integer number (22789350000).

Almost surely, 2^{16904248808832} is an apocalyptic number.

16904248808832 is a gapful number since it is divisible by the number (12) 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 16904248808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35004441600000).

16904248808832 is an abundant number, since it is smaller than the sum of its proper divisors (53104634391168).

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

16904248808832 is a wasteful number, since it uses less digits than its factorization.

16904248808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 16904248808832 in words is "sixteen trillion, nine hundred four billion, two hundred forty-eight million, eight hundred eight thousand, eight hundred thirty-two".