1238340168000 has 672 divisors, whose sum is σ = 4831173634560. Its totient is φ = 300945715200.

The previous prime is 1238340167983. The next prime is 1238340168001. The reversal of 1238340168000 is 8610438321.

1238340168000 is a `hidden beast` number, since 1 + 238 + 340 + 1 + 6 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×1238340168000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238340168001) 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, 73935627 + ... + 73952373.

It is an arithmetic number, because the mean of its divisors is an integer number (7189246480).

Almost surely, 2^{1238340168000} is an apocalyptic number.

1238340168000 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 1238340168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415586817280).

1238340168000 is an abundant number, since it is smaller than the sum of its proper divisors (3592833466560).

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

1238340168000 is a wasteful number, since it uses less digits than its factorization.

1238340168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16872 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1238340168000 in words is "one trillion, two hundred thirty-eight billion, three hundred forty million, one hundred sixty-eight thousand".