168169169800 has 48 divisors (see below), whose sum is σ = 392446952100. Its totient is φ = 67017580800.

The previous prime is 168169169797. The next prime is 168169169801. The reversal of 168169169800 is 8961961861.

168169169800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 61894473796 + 106274696004 = 248786^2 + 325998^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (168169169801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1509111 + ... + 1616710.

Almost surely, 2^168169169800 is an apocalyptic number.

168169169800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168169169800 is an abundant number, since it is smaller than the sum of its proper divisors (224277782300).

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

168169169800 is a wasteful number, since it uses less digits than its factorization.

168169169800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126106 (or 3126097 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 55.

The spelling of 168169169800 in words is "one hundred sixty-eight billion, one hundred sixty-nine million, one hundred sixty-nine thousand, eight hundred".