338541831936000 has 9216 divisors, whose sum is σ = 1735124248166400. Its totient is φ = 63170150400000.

The previous prime is 338541831935911. The next prime is 338541831936023. The reversal of 338541831936000 is 639138145833.

338541831936000 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 4 + 18 + 3 + 19 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×338541831936000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4768194815965 + ... + 4768194816035.

It is an arithmetic number, because the mean of its divisors is an integer number (188273030400).

Almost surely, 2^{338541831936000} is an apocalyptic number.

338541831936000 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 338541831936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867562124083200).

338541831936000 is an abundant number, since it is smaller than the sum of its proper divisors (1396582416230400).

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

338541831936000 is a wasteful number, since it uses less digits than its factorization.

338541831936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 338541831936000 in words is "three hundred thirty-eight trillion, five hundred forty-one billion, eight hundred thirty-one million, nine hundred thirty-six thousand".