338320656000 has 384 divisors, whose sum is σ = 1216654592400. Its totient is φ = 90095616000.

The previous prime is 338320655987. The next prime is 338320656007. The reversal of 338320656000 is 656023833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5354726976 + 332965929024 = 73176^2 + 577032^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338320656000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338320656007) 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, 162574960 + ... + 162577040.

Almost surely, 2^338320656000 is an apocalyptic number.

338320656000 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 338320656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608327296200).

338320656000 is an abundant number, since it is smaller than the sum of its proper divisors (878333936400).

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

338320656000 is a wasteful number, since it uses less digits than its factorization.

338320656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 338320656000 its reverse (656023833), we get a palindrome (338976679833).

The spelling of 338320656000 in words is "three hundred thirty-eight billion, three hundred twenty million, six hundred fifty-six thousand".