338110880064 has 112 divisors (see below), whose sum is σ = 916744082688. Its totient is φ = 109928347648.

The previous prime is 338110880059. The next prime is 338110880147. The reversal of 338110880064 is 460088011833.

It is a super-2 number, since 2×338110880064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338110879998 and 338110880025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580094 + ... + 2707970.

It is an arithmetic number, because the mean of its divisors is an integer number (8185215024).

Almost surely, 2^338110880064 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 338110880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458372041344).

338110880064 is an abundant number, since it is smaller than the sum of its proper divisors (578633202624).

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

338110880064 is a wasteful number, since it uses less digits than its factorization.

338110880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128232 (or 128222 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

Adding to 338110880064 its reverse (460088011833), we get a palindrome (798198891897).

It can be divided in two parts, 3381 and 10880064, that added together give a triangular number (10883445 = T₄₆₆₅).

The spelling of 338110880064 in words is "three hundred thirty-eight billion, one hundred ten million, eight hundred eighty thousand, sixty-four".