338144643072 has 144 divisors (see below), whose sum is σ = 1008129507840. Its totient is φ = 109078732800.

The previous prime is 338144643019. The next prime is 338144643107. The reversal of 338144643072 is 270346441833.

338144643072 is a `hidden beast` number, since 3 + 3 + 8 + 144 + 6 + 430 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338144643072² (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 11 ways as a sum of consecutive naturals, for example, 275497 + ... + 867287.

It is an arithmetic number, because the mean of its divisors is an integer number (7000899360).

Almost surely, 2^338144643072 is an apocalyptic number.

338144643072 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 338144643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504064753920).

338144643072 is an abundant number, since it is smaller than the sum of its proper divisors (669984864768).

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

338144643072 is a wasteful number, since it uses less digits than its factorization.

338144643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591850 (or 591827 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 338144643072 in words is "three hundred thirty-eight billion, one hundred forty-four million, six hundred forty-three thousand, seventy-two".