338150883100 has 144 divisors (see below), whose sum is σ = 798392649600. Its totient is φ = 123901920000.

The previous prime is 338150883071. The next prime is 338150883101. The reversal of 338150883100 is 1388051833.

It is a super-2 number, since 2×338150883100² (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 (338150883101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6813375 + ... + 6862825.

It is an arithmetic number, because the mean of its divisors is an integer number (5544393400).

Almost surely, 2^338150883100 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 338150883100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399196324800).

338150883100 is an abundant number, since it is smaller than the sum of its proper divisors (460241766500).

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

338150883100 is a wasteful number, since it uses less digits than its factorization.

338150883100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49604 (or 49597 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 338150883100 in words is "three hundred thirty-eight billion, one hundred fifty million, eight hundred eighty-three thousand, one hundred".