168228868199040 has 768 divisors, whose sum is σ = 654472780416000. Its totient is φ = 39448829952000.

The previous prime is 168228868198991. The next prime is 168228868199047. The reversal of 168228868199040 is 40991868822861.

168228868199040 is a `hidden beast` number, since 1 + 68 + 2 + 288 + 68 + 199 + 0 + 40 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 168228868199040.

It is not an unprimeable number, because it can be changed into a prime (168228868199047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4480230186 + ... + 4480267734.

It is an arithmetic number, because the mean of its divisors is an integer number (852178099500).

Almost surely, 2^{168228868199040} is an apocalyptic number.

168228868199040 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 168228868199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327236390208000).

168228868199040 is an abundant number, since it is smaller than the sum of its proper divisors (486243912216960).

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

168228868199040 is a wasteful number, since it uses less digits than its factorization.

168228868199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39897 (or 39882 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 168228868199040 in words is "one hundred sixty-eight trillion, two hundred twenty-eight billion, eight hundred sixty-eight million, one hundred ninety-nine thousand, forty".