1314138168 has 192 divisors, whose sum is σ = 4245696000. Its totient is φ = 373030272.

The previous prime is 1314138151. The next prime is 1314138193. The reversal of 1314138168 is 8618314131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660373 + ... + 3660731.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2^1314138168 is an apocalyptic number.

1314138168 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 1314138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848000).

1314138168 is an abundant number, since it is smaller than the sum of its proper divisors (2931557832).

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

1314138168 is a wasteful number, since it uses less digits than its factorization.

1314138168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1314138168 is about 36251.0436815273. The cubic root of 1314138168 is about 1095.3351122943.

The spelling of 1314138168 in words is "one billion, three hundred fourteen million, one hundred thirty-eight thousand, one hundred sixty-eight".