168954416640 has 240 divisors, whose sum is σ = 598748003568. Its totient is φ = 44006473728.

The previous prime is 168954416639. The next prime is 168954416647. The reversal of 168954416640 is 46614459861.

168954416640 is a `hidden beast` number, since 1 + 6 + 89 + 544 + 16 + 6 + 4 + 0 = 666.

168954416640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168954416647) 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 23 ways as a sum of consecutive naturals, for example, 905452 + ... + 1075988.

Almost surely, 2^168954416640 is an apocalyptic number.

168954416640 is a gapful number since it is divisible by the number (10) 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 168954416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299374001784).

168954416640 is an abundant number, since it is smaller than the sum of its proper divisors (429793586928).

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

168954416640 is a wasteful number, since it uses less digits than its factorization.

168954416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170609 (or 170590 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 168954416640 in words is "one hundred sixty-eight billion, nine hundred fifty-four million, four hundred sixteen thousand, six hundred forty".