338264343648 has 1728 divisors, whose sum is σ = 1377813265920. Its totient is φ = 81142871040.

The previous prime is 338264343607. The next prime is 338264343653. The reversal of 338264343648 is 846343462833.

338264343648 is a `hidden beast` number, since 3 + 38 + 264 + 343 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×338264343648² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 338264343594 and 338264343603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11664287698 + ... + 11664287726.

It is an arithmetic number, because the mean of its divisors is an integer number (797345640).

Almost surely, 2^338264343648 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 338264343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688906632960).

338264343648 is an abundant number, since it is smaller than the sum of its proper divisors (1039548922272).

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

338264343648 is a wasteful number, since it uses less digits than its factorization.

338264343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 338264343648 in words is "three hundred thirty-eight billion, two hundred sixty-four million, three hundred forty-three thousand, six hundred forty-eight".