338116842778624 has 624 divisors, whose sum is σ = 861973129063200. Its totient is φ = 131414127280128.

The previous prime is 338116842778621. The next prime is 338116842778639. The reversal of 338116842778624 is 426877248611833.

It is a super-2 number, since 2×338116842778624² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338116842778621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71498589892 + ... + 71498594620.

Almost surely, 2^{338116842778624} 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 338116842778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430986564531600).

338116842778624 is an abundant number, since it is smaller than the sum of its proper divisors (523856286284576).

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

338116842778624 is a wasteful number, since it uses less digits than its factorization.

338116842778624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5227 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 70.

The spelling of 338116842778624 in words is "three hundred thirty-eight trillion, one hundred sixteen billion, eight hundred forty-two million, seven hundred seventy-eight thousand, six hundred twenty-four".