1538166168 has 384 divisors, whose sum is σ = 5453360640. Its totient is φ = 380160000.

The previous prime is 1538166131. The next prime is 1538166173. The reversal of 1538166168 is 8616618351.

1538166168 is a `hidden beast` number, since 15 + 3 + 8 + 16 + 616 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15229318 + ... + 15229418.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 2^1538166168 is an apocalyptic number.

1538166168 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 1538166168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726680320).

1538166168 is an abundant number, since it is smaller than the sum of its proper divisors (3915194472).

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

1538166168 is a wasteful number, since it uses less digits than its factorization.

1538166168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1538166168 is about 39219.4615975283. The cubic root of 1538166168 is about 1154.3417894729.

It can be divided in two parts, 15 and 38166168, that added together give a palindrome (38166183).

The spelling of 1538166168 in words is "one billion, five hundred thirty-eight million, one hundred sixty-six thousand, one hundred sixty-eight".