338582205000 has 540 divisors, whose sum is σ = 1246708039005. Its totient is φ = 82948320000.

The previous prime is 338582204971. The next prime is 338582205029. The reversal of 338582205000 is 502285833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

338582205000 is a `hidden beast` number, since 3 + 3 + 8 + 582 + 20 + 50 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (338582204971) and next prime (338582205029).

It can be written as a sum of positive squares in 8 ways, for example, as 132017408964 + 206564796036 = 363342^2 + 454494^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=411450.

It is a super-2 number, since 2×338582205000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 1604654895 + ... + 1604655105.

Almost surely, 2^338582205000 is an apocalyptic number.

338582205000 is a gapful number since it is divisible by the number (30) 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 338582205000

338582205000 is an abundant number, since it is smaller than the sum of its proper divisors (908125834005).

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

338582205000 is a wasteful number, since it uses less digits than its factorization.

338582205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 338582205000 in words is "three hundred thirty-eight billion, five hundred eighty-two million, two hundred five thousand".