168693740352 has 168 divisors, whose sum is σ = 497502500040. Its totient is φ = 54618439680.

The previous prime is 168693740339. The next prime is 168693740357. The reversal of 168693740352 is 253047396861.

168693740352 is a `hidden beast` number, since 168 + 6 + 93 + 7 + 40 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21863762496 + 146829977856 = 147864^2 + 383184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168693740357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5392468 + ... + 5423660.

It is an arithmetic number, because the mean of its divisors is an integer number (2961324405).

It is a 1-persistent number, because it is pandigital, but 2⋅168693740352 = 337387480704 is not.

Almost surely, 2^168693740352 is an apocalyptic number.

168693740352 is a gapful number since it is divisible by the number (12) 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 168693740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248751250020).

168693740352 is an abundant number, since it is smaller than the sum of its proper divisors (328808759688).

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

168693740352 is a wasteful number, since it uses less digits than its factorization.

168693740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31481 (or 31468 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 168693740352 in words is "one hundred sixty-eight billion, six hundred ninety-three million, seven hundred forty thousand, three hundred fifty-two".