16908731334432 has 1152 divisors, whose sum is σ = 60517416960000. Its totient is φ = 4369890539520.

The previous prime is 16908731334431. The next prime is 16908731334437. The reversal of 16908731334432 is 23443313780961.

16908731334432 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 8 + 73 + 133 + 4 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (16908731334431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38516472069 + ... + 38516472507.

It is an arithmetic number, because the mean of its divisors is an integer number (52532480000).

Almost surely, 2^{16908731334432} is an apocalyptic number.

16908731334432 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 16908731334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30258708480000).

16908731334432 is an abundant number, since it is smaller than the sum of its proper divisors (43608685625568).

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

16908731334432 is a wasteful number, since it uses less digits than its factorization.

16908731334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 16908731334432 in words is "sixteen trillion, nine hundred eight billion, seven hundred thirty-one million, three hundred thirty-four thousand, four hundred thirty-two".