338352052000 has 48 divisors (see below), whose sum is σ = 831331001592. Its totient is φ = 135340819200.

The previous prime is 338352051979. The next prime is 338352052033. The reversal of 338352052000 is 250253833.

It can be written as a sum of positive squares in 4 ways, for example, as 180288556816 + 158063495184 = 424604^2 + 397572^2 .

It is a super-2 number, since 2×338352052000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42290007 + ... + 42298006.

Almost surely, 2^338352052000 is an apocalyptic number.

It is an amenable number.

338352052000 is an abundant number, since it is smaller than the sum of its proper divisors (492978949592).

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

338352052000 is an equidigital number, since it uses as much as digits as its factorization.

338352052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84588038 (or 84588020 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 338352052000 in words is "three hundred thirty-eight billion, three hundred fifty-two million, fifty-two thousand".