338848869760000 has 220 divisors, whose sum is σ = 890986972808680. Its totient is φ = 128405882880000.

The previous prime is 338848869759991. The next prime is 338848869760001. The reversal of 338848869760000 is 67968848833.

It is a super-2 number, since 2×338848869760000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338848869760001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1772931 + ... + 26092930.

It is an arithmetic number, because the mean of its divisors is an integer number (4049940785494).

Almost surely, 2^{338848869760000} 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 338848869760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445493486404340).

338848869760000 is an abundant number, since it is smaller than the sum of its proper divisors (552138103048680).

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

338848869760000 is an equidigital number, since it uses as much as digits as its factorization.

338848869760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865920 (or 27865887 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 70.

The spelling of 338848869760000 in words is "three hundred thirty-eight trillion, eight hundred forty-eight billion, eight hundred sixty-nine million, seven hundred sixty thousand".