338121917844480 has 2816 divisors, whose sum is σ = 1584763320729600. Its totient is φ = 66280245166080.

The previous prime is 338121917844461. The next prime is 338121917844497. The reversal of 338121917844480 is 84448719121833.

338121917844480 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 2 + 19 + 178 + 4 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×338121917844480² (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 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 255 ways as a sum of consecutive naturals, for example, 17872072461 + ... + 17872091379.

It is an arithmetic number, because the mean of its divisors is an integer number (562771065600).

Almost surely, 2^{338121917844480} is an apocalyptic number.

338121917844480 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 338121917844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792381660364800).

338121917844480 is an abundant number, since it is smaller than the sum of its proper divisors (1246641402885120).

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

338121917844480 is a wasteful number, since it uses less digits than its factorization.

338121917844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19067 (or 19043 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 338121917844480 in words is "three hundred thirty-eight trillion, one hundred twenty-one billion, nine hundred seventeen million, eight hundred forty-four thousand, four hundred eighty".