338246068608 has 288 divisors, whose sum is σ = 1156350180960. Its totient is φ = 94584784896.

The previous prime is 338246068591. The next prime is 338246068627. The reversal of 338246068608 is 806860642833.

It is a happy number.

338246068608 is a `hidden beast` number, since 3 + 3 + 8 + 24 + 6 + 0 + 6 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338246068608² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2589310 + ... + 2716802.

It is an arithmetic number, because the mean of its divisors is an integer number (4015104795).

Almost surely, 2^338246068608 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 338246068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578175090480).

338246068608 is an abundant number, since it is smaller than the sum of its proper divisors (818104112352).

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

338246068608 is a wasteful number, since it uses less digits than its factorization.

338246068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127574 (or 127552 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 338246068608 in words is "three hundred thirty-eight billion, two hundred forty-six million, sixty-eight thousand, six hundred eight".