338243143680 has 1440 divisors, whose sum is σ = 1392776985600. Its totient is φ = 78256668672.

The previous prime is 338243143649. The next prime is 338243143747. The reversal of 338243143680 is 86341342833.

338243143680 is a `hidden beast` number, since 3 + 38 + 243 + 14 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338243143680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2663331777 + ... + 2663331903.

It is an arithmetic number, because the mean of its divisors is an integer number (967206240).

Almost surely, 2^338243143680 is an apocalyptic number.

338243143680 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 338243143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696388492800).

338243143680 is an abundant number, since it is smaller than the sum of its proper divisors (1054533841920).

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

338243143680 is a wasteful number, since it uses less digits than its factorization.

338243143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 338243143680 in words is "three hundred thirty-eight billion, two hundred forty-three million, one hundred forty-three thousand, six hundred eighty".