338240259648 has 112 divisors (see below), whose sum is σ = 1004018271360. Its totient is φ = 111652065792.

The previous prime is 338240259647. The next prime is 338240259653. The reversal of 338240259648 is 846952042833.

338240259648 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 4 + 0 + 2 + 596 + 48 = 666.

It is a super-3 number, since 3×338240259648³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338240259594 and 338240259603.

It is not an unprimeable number, because it can be changed into a prime (338240259647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772215 + ... + 1128182.

Almost surely, 2^338240259648 is an apocalyptic number.

It is an amenable number.

338240259648 is an abundant number, since it is smaller than the sum of its proper divisors (665778011712).

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

338240259648 is a wasteful number, since it uses less digits than its factorization.

338240259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900521 (or 1900505 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 338240259648 in words is "three hundred thirty-eight billion, two hundred forty million, two hundred fifty-nine thousand, six hundred forty-eight".