338964429086720 has 112 divisors (see below), whose sum is σ = 813498392532600. Its totient is φ = 135580202041344.

The previous prime is 338964429086693. The next prime is 338964429086729. The reversal of 338964429086720 is 27680924469833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 218939608305664 + 120024820781056 = 14796608^2 + 10955584^2 .

It is a super-2 number, since 2×338964429086720² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338964429086729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080900506 + ... + 1081214054.

Almost surely, 2^{338964429086720} 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 338964429086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406749196266300).

338964429086720 is an abundant number, since it is smaller than the sum of its proper divisors (474533963445880).

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

338964429086720 is an equidigital number, since it uses as much as digits as its factorization.

338964429086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339973 (or 339949 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 71.

The spelling of 338964429086720 in words is "three hundred thirty-eight trillion, nine hundred sixty-four billion, four hundred twenty-nine million, eighty-six thousand, seven hundred twenty".