168349144320 has 648 divisors, whose sum is σ = 702681872256. Its totient is φ = 36448247808.

The previous prime is 168349144279. The next prime is 168349144351. The reversal of 168349144320 is 23441943861.

168349144320 is a `hidden beast` number, since 16 + 83 + 491 + 44 + 32 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29108149 + ... + 29113931.

Almost surely, 2^168349144320 is an apocalyptic number.

168349144320 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 168349144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351340936128).

168349144320 is an abundant number, since it is smaller than the sum of its proper divisors (534332727936).

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

168349144320 is a wasteful number, since it uses less digits than its factorization.

168349144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 168349144320 in words is "one hundred sixty-eight billion, three hundred forty-nine million, one hundred forty-four thousand, three hundred twenty".