168002330496000 has 5632 divisors, whose sum is σ = 809526914187264. Its totient is φ = 29780213760000.

The previous prime is 168002330495971. The next prime is 168002330496001. The reversal of 168002330496000 is 694033200861.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (168002330496001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 274065791694 + ... + 274065792306.

Almost surely, 2^{168002330496000} is an apocalyptic number.

168002330496000 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 168002330496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404763457093632).

168002330496000 is an abundant number, since it is smaller than the sum of its proper divisors (641524583691264).

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

168002330496000 is a wasteful number, since it uses less digits than its factorization.

168002330496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

Adding to 168002330496000 its reverse (694033200861), we get a palindrome (168696363696861).

The spelling of 168002330496000 in words is "one hundred sixty-eight trillion, two billion, three hundred thirty million, four hundred ninety-six thousand".