168905606400 has 648 divisors, whose sum is σ = 635980412704. Its totient is φ = 44341862400.

The previous prime is 168905606381. The next prime is 168905606423. The reversal of 168905606400 is 4606509861.

168905606400 is a `hidden beast` number, since 1 + 6 + 89 + 0 + 560 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104197590 + ... + 104199210.

Almost surely, 2^168905606400 is an apocalyptic number.

168905606400 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 168905606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990206352).

168905606400 is an abundant number, since it is smaller than the sum of its proper divisors (467074806304).

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

168905606400 is an equidigital number, since it uses as much as digits as its factorization.

168905606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 168905606400 in words is "one hundred sixty-eight billion, nine hundred five million, six hundred six thousand, four hundred".