338945651200 has 480 divisors, whose sum is σ = 972640247040. Its totient is φ = 115988889600.

The previous prime is 338945651183. The next prime is 338945651221. The reversal of 338945651200 is 2156549833.

It is a super-2 number, since 2×338945651200² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148594060 + ... + 148596340.

It is an arithmetic number, because the mean of its divisors is an integer number (2026333848).

Almost surely, 2^338945651200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338945651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486320123520).

338945651200 is an abundant number, since it is smaller than the sum of its proper divisors (633694595840).

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

338945651200 is a wasteful number, since it uses less digits than its factorization.

338945651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 338945651200 in words is "three hundred thirty-eight billion, nine hundred forty-five million, six hundred fifty-one thousand, two hundred".