168045199712940 has 192 divisors, whose sum is σ = 544471694581248. Its totient is φ = 38273025945600.

The previous prime is 168045199712933. The next prime is 168045199712947. The reversal of 168045199712940 is 49217991540861.

It is an interprime number because it is at equal distance from previous prime (168045199712933) and next prime (168045199712947).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (168045199712947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7195066 + ... + 19694145.

It is an arithmetic number, because the mean of its divisors is an integer number (2835790075944).

Almost surely, 2^{168045199712940} is an apocalyptic number.

168045199712940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168045199712940 is an abundant number, since it is smaller than the sum of its proper divisors (376426494868308).

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

168045199712940 is a wasteful number, since it uses less digits than its factorization.

168045199712940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26889808 (or 26889806 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 168045199712940 in words is "one hundred sixty-eight trillion, forty-five billion, one hundred ninety-nine million, seven hundred twelve thousand, nine hundred forty".