338126222448 has 600 divisors, whose sum is σ = 1185243150000. Its totient is φ = 93201518592.

The previous prime is 338126222393. The next prime is 338126222459. The reversal of 338126222448 is 844222621833.

338126222448 is a `hidden beast` number, since 3 + 3 + 8 + 12 + 622 + 2 + 4 + 4 + 8 = 666.

338126222448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338126222448² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 270716928 + ... + 270718176.

It is an arithmetic number, because the mean of its divisors is an integer number (1975405250).

Almost surely, 2^338126222448 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 338126222448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592621575000).

338126222448 is an abundant number, since it is smaller than the sum of its proper divisors (847116927552).

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

338126222448 is an equidigital number, since it uses as much as digits as its factorization.

338126222448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1290 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 338126222448 in words is "three hundred thirty-eight billion, one hundred twenty-six million, two hundred twenty-two thousand, four hundred forty-eight".