338660622144 has 336 divisors, whose sum is σ = 1076170088448. Its totient is φ = 101169782784.

The previous prime is 338660622121. The next prime is 338660622163. The reversal of 338660622144 is 441226066833.

338660622144 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 6 + 0 + 622 + 14 + 4 = 666.

It is a super-2 number, since 2×338660622144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338660622144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44692084 + ... + 44699660.

It is an arithmetic number, because the mean of its divisors is an integer number (3202887168).

Almost surely, 2^338660622144 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 338660622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538085044224).

338660622144 is an abundant number, since it is smaller than the sum of its proper divisors (737509466304).

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

338660622144 is a wasteful number, since it uses less digits than its factorization.

338660622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

Adding to 338660622144 its reverse (441226066833), we get a palindrome (779886688977).

The spelling of 338660622144 in words is "three hundred thirty-eight billion, six hundred sixty million, six hundred twenty-two thousand, one hundred forty-four".