338013000000 has 1176 divisors, whose sum is σ = 1365153150816. Its totient is φ = 82425600000.

The previous prime is 338012999977. The next prime is 338013000001. The reversal of 338013000000 is 310833.

It is a super-2 number, since 2×338013000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338013000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3158999947 + ... + 3159000053.

It is an arithmetic number, because the mean of its divisors is an integer number (1160844516).

Almost surely, 2^338013000000 is an apocalyptic number.

338013000000 is a gapful number since it is divisible by the number (30) 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 338013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682576575408).

338013000000 is an abundant number, since it is smaller than the sum of its proper divisors (1027140150816).

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

338013000000 is an frugal number, since it uses more digits than its factorization.

338013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 338013000000 its reverse (310833), we get a palindrome (338013310833).

The spelling of 338013000000 in words is "three hundred thirty-eight billion, thirteen million", and thus it is an aban number.