338847876468 has 72 divisors (see below), whose sum is σ = 863382341640. Its totient is φ = 112047114240.

The previous prime is 338847876413. The next prime is 338847876539. The reversal of 338847876468 is 864678748833.

338847876468 is a `hidden beast` number, since 3 + 3 + 8 + 84 + 7 + 87 + 6 + 468 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 249576804 + 338598299664 = 15798^2 + 581892^2 .

It is a super-2 number, since 2×338847876468² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338847876396 and 338847876405.

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 23 ways as a sum of consecutive naturals, for example, 7320678 + ... + 7366818.

Almost surely, 2^338847876468 is an apocalyptic number.

It is an amenable number.

338847876468 is an abundant number, since it is smaller than the sum of its proper divisors (524534465172).

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

338847876468 is a wasteful number, since it uses less digits than its factorization.

338847876468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47777 (or 47772 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 338847876468 in words is "three hundred thirty-eight billion, eight hundred forty-seven million, eight hundred seventy-six thousand, four hundred sixty-eight".