14138220168 has 132 divisors (see below), whose sum is σ = 39994695285. Its totient is φ = 4685498784.

The previous prime is 14138220143. The next prime is 14138220181. The reversal of 14138220168 is 86102283141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14138220168 is a `hidden beast` number, since 1 + 413 + 8 + 220 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11122233444 + 3015986724 = 105462^2 + 54918^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=84078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 81723730 + ... + 81723902.

Almost surely, 2^14138220168 is an apocalyptic number.

14138220168 is a gapful number since it is divisible by the number (18) 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 14138220168

14138220168 is an abundant number, since it is smaller than the sum of its proper divisors (25856475117).

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

14138220168 is an frugal number, since it uses more digits than its factorization.

14138220168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 14138220168 by its product of nonzero digits (18432), we get a square (260595674136576 = 16142976²).

The spelling of 14138220168 in words is "fourteen billion, one hundred thirty-eight million, two hundred twenty thousand, one hundred sixty-eight".