338373720440448 has 256 divisors, whose sum is σ = 1120843926190080. Its totient is φ = 87869228544000.

The previous prime is 338373720440377. The next prime is 338373720440477. The reversal of 338373720440448 is 844044027373833.

It is a super-2 number, since 2×338373720440448² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338373720440391 and 338373720440400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128529978 + ... + 131136198.

It is an arithmetic number, because the mean of its divisors is an integer number (4378296586680).

Almost surely, 2^{338373720440448} 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 338373720440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560421963095040).

338373720440448 is an abundant number, since it is smaller than the sum of its proper divisors (782470205749632).

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

338373720440448 is a wasteful number, since it uses less digits than its factorization.

338373720440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610647 (or 2610635 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 60.

The spelling of 338373720440448 in words is "three hundred thirty-eight trillion, three hundred seventy-three billion, seven hundred twenty million, four hundred forty thousand, four hundred forty-eight".