168403191264 has 1152 divisors, whose sum is σ = 662555013120. Its totient is φ = 40758681600.

The previous prime is 168403191251. The next prime is 168403191301. The reversal of 168403191264 is 462191304861.

168403191264 is a `hidden beast` number, since 168 + 40 + 3 + 191 + 264 = 666.

168403191264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1285520479 + ... + 1285520609.

It is an arithmetic number, because the mean of its divisors is an integer number (575134560).

Almost surely, 2^168403191264 is an apocalyptic number.

168403191264 is a gapful number since it is divisible by the number (14) 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 168403191264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331277506560).

168403191264 is an abundant number, since it is smaller than the sum of its proper divisors (494151821856).

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

168403191264 is a wasteful number, since it uses less digits than its factorization.

168403191264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 168403191264 in words is "one hundred sixty-eight billion, four hundred three million, one hundred ninety-one thousand, two hundred sixty-four".