16840196961984 has 2688 divisors, whose sum is σ = 62466236743680. Its totient is φ = 4425974784000.

The previous prime is 16840196961977. The next prime is 16840196962031. The reversal of 16840196961984 is 48916969104861.

16840196961984 is a `hidden beast` number, since 16 + 8 + 401 + 9 + 69 + 61 + 98 + 4 = 666.

It is a super-3 number, since 3×16840196961984³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 237185872669 + ... + 237185872739.

It is an arithmetic number, because the mean of its divisors is an integer number (23238927360).

Almost surely, 2^{16840196961984} 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 16840196961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31233118371840).

16840196961984 is an abundant number, since it is smaller than the sum of its proper divisors (45626039781696).

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

16840196961984 is a wasteful number, since it uses less digits than its factorization.

16840196961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 16840196961984 in words is "sixteen trillion, eight hundred forty billion, one hundred ninety-six million, nine hundred sixty-one thousand, nine hundred eighty-four".