338824967120640 has 6048 divisors, whose sum is σ = 1682255190537600. Its totient is φ = 64892837560320.

The previous prime is 338824967120609. The next prime is 338824967120753. The reversal of 338824967120640 is 46021769428833.

338824967120640 is a `hidden beast` number, since 3 + 3 + 8 + 82 + 496 + 7 + 1 + 2 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×338824967120640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 503454631344 + ... + 503454632016.

Almost surely, 2^{338824967120640} is an apocalyptic number.

338824967120640 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 338824967120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841127595268800).

338824967120640 is an abundant number, since it is smaller than the sum of its proper divisors (1343430223416960).

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

338824967120640 is an equidigital number, since it uses as much as digits as its factorization.

338824967120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 338824967120640 in words is "three hundred thirty-eight trillion, eight hundred twenty-four billion, nine hundred sixty-seven million, one hundred twenty thousand, six hundred forty".