338404283136 has 360 divisors, whose sum is σ = 1064462710080. Its totient is φ = 106633967616.

The previous prime is 338404283111. The next prime is 338404283137. The reversal of 338404283136 is 631382404833.

338404283136 is a `hidden beast` number, since 3 + 38 + 404 + 2 + 83 + 136 = 666.

It is a super-2 number, since 2×338404283136² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338404283091 and 338404283100.

It is not an unprimeable number, because it can be changed into a prime (338404283137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357343015 + ... + 357343961.

Almost surely, 2^338404283136 is an apocalyptic number.

338404283136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338404283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532231355040).

338404283136 is an abundant number, since it is smaller than the sum of its proper divisors (726058426944).

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

338404283136 is an equidigital number, since it uses as much as digits as its factorization.

338404283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

Adding to 338404283136 its reverse (631382404833), we get a palindrome (969786687969).

The spelling of 338404283136 in words is "three hundred thirty-eight billion, four hundred four million, two hundred eighty-three thousand, one hundred thirty-six".