338153292282 has 64 divisors (see below), whose sum is σ = 733719692160. Its totient is φ = 103278599424.

The previous prime is 338153292271. The next prime is 338153292287. The reversal of 338153292282 is 282292351833.

It is a super-2 number, since 2×338153292282² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338153292287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12391569 + ... + 12418827.

It is an arithmetic number, because the mean of its divisors is an integer number (11464370190).

Almost surely, 2^338153292282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338153292282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366859846080).

338153292282 is an abundant number, since it is smaller than the sum of its proper divisors (395566399878).

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

338153292282 is a wasteful number, since it uses less digits than its factorization.

338153292282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447.

The product of its digits is 1244160, while the sum is 48.

The spelling of 338153292282 in words is "three hundred thirty-eight billion, one hundred fifty-three million, two hundred ninety-two thousand, two hundred eighty-two".