338073435414 has 576 divisors, whose sum is σ = 966226060800. Its totient is φ = 84454824960.

The previous prime is 338073435409. The next prime is 338073435481. The reversal of 338073435414 is 414534370833.

338073435414 is a `hidden beast` number, since 3 + 38 + 0 + 73 + 4 + 3 + 541 + 4 = 666.

It is a super-2 number, since 2×338073435414² (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 338073435414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1101216249 + ... + 1101216555.

It is an arithmetic number, because the mean of its divisors is an integer number (1677475800).

Almost surely, 2^338073435414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338073435414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483113030400).

338073435414 is an abundant number, since it is smaller than the sum of its proper divisors (628152625386).

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

338073435414 is a wasteful number, since it uses less digits than its factorization.

338073435414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 338073435414 in words is "three hundred thirty-eight billion, seventy-three million, four hundred thirty-five thousand, four hundred fourteen".