338856708996 has 243 divisors, whose sum is σ = 987530010831. Its totient is φ = 97906917888.

The previous prime is 338856708991. The next prime is 338856708997. The reversal of 338856708996 is 699807658833.

The square root of 338856708996 is 582114.

It is a perfect power (a square), and thus also a powerful number.

338856708996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3059638596 + 335797070400 = 55314^2 + 579480^2 .

It is a super-2 number, since 2×338856708996² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338856708991) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 771882945 + ... + 771883383.

Almost surely, 2^338856708996 is an apocalyptic number.

338856708996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

338856708996 is the 582114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338856708996

338856708996 is an abundant number, since it is smaller than the sum of its proper divisors (648673301835).

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

338856708996 is a wasteful number, since it uses less digits than its factorization.

338856708996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 338856708996 in words is "three hundred thirty-eight billion, eight hundred fifty-six million, seven hundred eight thousand, nine hundred ninety-six".