338484527507808 has 1152 divisors, whose sum is σ = 1157616118923264. Its totient is φ = 92745567129600.

The previous prime is 338484527507803. The next prime is 338484527507827. The reversal of 338484527507808 is 808705725484833.

338484527507808 is a `hidden beast` number, since 3 + 3 + 8 + 48 + 4 + 527 + 50 + 7 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×338484527507808² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338484527507803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22141977541 + ... + 22141992827.

It is an arithmetic number, because the mean of its divisors is an integer number (1004875103232).

Almost surely, 2^{338484527507808} 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 338484527507808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578808059461632).

338484527507808 is an abundant number, since it is smaller than the sum of its proper divisors (819131591415456).

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

338484527507808 is a wasteful number, since it uses less digits than its factorization.

338484527507808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15597 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 338484527507808 in words is "three hundred thirty-eight trillion, four hundred eighty-four billion, five hundred twenty-seven million, five hundred seven thousand, eight hundred eight".