338424339456 has 528 divisors, whose sum is σ = 1160018196480. Its totient is φ = 92990177280.

The previous prime is 338424339433. The next prime is 338424339529. The reversal of 338424339456 is 654933424833.

338424339456 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 243 + 394 + 5 + 6 = 666.

It is a super-2 number, since 2×338424339456² (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 47 ways as a sum of consecutive naturals, for example, 393974355 + ... + 393975213.

It is an arithmetic number, because the mean of its divisors is an integer number (2197004160).

Almost surely, 2^338424339456 is an apocalyptic number.

338424339456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338424339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580009098240).

338424339456 is an abundant number, since it is smaller than the sum of its proper divisors (821593857024).

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

338424339456 is a wasteful number, since it uses less digits than its factorization.

338424339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 338424339456 in words is "three hundred thirty-eight billion, four hundred twenty-four million, three hundred thirty-nine thousand, four hundred fifty-six".