338452005749832 has 384 divisors, whose sum is σ = 1085519216396160. Its totient is φ = 97869661655040.

The previous prime is 338452005749827. The next prime is 338452005749833. The reversal of 338452005749832 is 238947500254833.

338452005749832 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 5 + 20 + 0 + 574 + 9 + 8 + 32 = 666.

It is a super-2 number, since 2×338452005749832² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338452005749832.

It is not an unprimeable number, because it can be changed into a prime (338452005749833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292856482 + ... + 294009902.

It is an arithmetic number, because the mean of its divisors is an integer number (2826872959365).

Almost surely, 2^{338452005749832} 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 338452005749832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542759608198080).

338452005749832 is an abundant number, since it is smaller than the sum of its proper divisors (747067210646328).

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

338452005749832 is a wasteful number, since it uses less digits than its factorization.

338452005749832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154155 (or 1154139 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 338452005749832 in words is "three hundred thirty-eight trillion, four hundred fifty-two billion, five million, seven hundred forty-nine thousand, eight hundred thirty-two".