16501981172112 has 320 divisors, whose sum is σ = 50257200000000. Its totient is φ = 5169674409984.

The previous prime is 16501981172111. The next prime is 16501981172179. The reversal of 16501981172112 is 21127118910561.

16501981172112 is a `hidden beast` number, since 1 + 6 + 501 + 9 + 8 + 117 + 21 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (16501981172111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1710222264 + ... + 1710231912.

It is an arithmetic number, because the mean of its divisors is an integer number (157053750000).

Almost surely, 2^{16501981172112} is an apocalyptic number.

16501981172112 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 16501981172112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128600000000).

16501981172112 is an abundant number, since it is smaller than the sum of its proper divisors (33755218827888).

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

16501981172112 is a wasteful number, since it uses less digits than its factorization.

16501981172112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 45.

The spelling of 16501981172112 in words is "sixteen trillion, five hundred one billion, nine hundred eighty-one million, one hundred seventy-two thousand, one hundred twelve".