338863107132 has 288 divisors, whose sum is σ = 975029852160. Its totient is φ = 98304192000.

The previous prime is 338863107131. The next prime is 338863107151. The reversal of 338863107132 is 231701368833.

338863107132 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 631 + 0 + 7 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×338863107132² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338863107131) 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, 804900282 + ... + 804900702.

It is an arithmetic number, because the mean of its divisors is an integer number (3385520320).

Almost surely, 2^338863107132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338863107132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487514926080).

338863107132 is an abundant number, since it is smaller than the sum of its proper divisors (636166745028).

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

338863107132 is a wasteful number, since it uses less digits than its factorization.

338863107132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 338863107132 in words is "three hundred thirty-eight billion, eight hundred sixty-three million, one hundred seven thousand, one hundred thirty-two".