338388839552 has 64 divisors (see below), whose sum is σ = 714629676600. Its totient is φ = 159054249984.

The previous prime is 338388839549. The next prime is 338388839557. The reversal of 338388839552 is 255938883833.

It can be written as a sum of positive squares in 4 ways, for example, as 313179021376 + 25209818176 = 559624^2 + 158776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×338388839552² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338388839557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764974 + ... + 1947282.

Almost surely, 2^338388839552 is an apocalyptic number.

338388839552 is a gapful number since it is divisible by the number (32) 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 338388839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357314838300).

338388839552 is an abundant number, since it is smaller than the sum of its proper divisors (376240837048).

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

338388839552 is a wasteful number, since it uses less digits than its factorization.

338388839552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183193 (or 183181 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 65.

The spelling of 338388839552 in words is "three hundred thirty-eight billion, three hundred eighty-eight million, eight hundred thirty-nine thousand, five hundred fifty-two".