338351915412 has 576 divisors, whose sum is σ = 1132185600000. Its totient is φ = 82943917056.

The previous prime is 338351915401. The next prime is 338351915423. The reversal of 338351915412 is 214519153833.

338351915412 is a `hidden beast` number, since 3 + 3 + 83 + 519 + 1 + 54 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (338351915401) and next prime (338351915423).

It is a super-2 number, since 2×338351915412² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169259589 + ... + 169261587.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600000).

Almost surely, 2^338351915412 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 338351915412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800000).

338351915412 is an abundant number, since it is smaller than the sum of its proper divisors (793833684588).

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

338351915412 is a wasteful number, since it uses less digits than its factorization.

338351915412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2135 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 338351915412 in words is "three hundred thirty-eight billion, three hundred fifty-one million, nine hundred fifteen thousand, four hundred twelve".