338876452096 has 288 divisors, whose sum is σ = 849128749056. Its totient is φ = 131410944000.

The previous prime is 338876452069. The next prime is 338876452139. The reversal of 338876452096 is 690254678833.

It is a super-2 number, since 2×338876452096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348996891 + ... + 348997861.

It is an arithmetic number, because the mean of its divisors is an integer number (2948363712).

Almost surely, 2^338876452096 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 338876452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424564374528).

338876452096 is an abundant number, since it is smaller than the sum of its proper divisors (510252296960).

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

338876452096 is a wasteful number, since it uses less digits than its factorization.

338876452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 338876452096 in words is "three hundred thirty-eight billion, eight hundred seventy-six million, four hundred fifty-two thousand, ninety-six".