338678855424 has 1296 divisors, whose sum is σ = 1295461772640. Its totient is φ = 86951854080.

The previous prime is 338678855311. The next prime is 338678855447. The reversal of 338678855424 is 424558876833.

338678855424 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 7 + 8 + 85 + 542 + 4 = 666.

It is a super-2 number, since 2×338678855424² (a number of 24 digits) contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3491534544 + ... + 3491534640.

Almost surely, 2^338678855424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338678855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647730886320).

338678855424 is an abundant number, since it is smaller than the sum of its proper divisors (956782917216).

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

338678855424 is a wasteful number, since it uses less digits than its factorization.

338678855424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 338678855424 in words is "three hundred thirty-eight billion, six hundred seventy-eight million, eight hundred fifty-five thousand, four hundred twenty-four".