338882565485880 has 384 divisors, whose sum is σ = 1190119830419520. Its totient is φ = 83133835591680.

The previous prime is 338882565485879. The next prime is 338882565485887. The reversal of 338882565485880 is 88584565288833.

338882565485880 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 8 + 2 + 56 + 5 + 485 + 8 + 80 = 666.

It is a super-2 number, since 2×338882565485880² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338882565485880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338882565485887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14828788534 + ... + 14828811386.

Almost surely, 2^{338882565485880} is an apocalyptic number.

338882565485880 is a gapful number since it is divisible by the number (30) 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 338882565485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595059915209760).

338882565485880 is an abundant number, since it is smaller than the sum of its proper divisors (851237264933640).

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

338882565485880 is a wasteful number, since it uses less digits than its factorization.

338882565485880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33511 (or 33504 counting only the distinct ones).

The product of its (nonzero) digits is 14155776000, while the sum is 81.

The spelling of 338882565485880 in words is "three hundred thirty-eight trillion, eight hundred eighty-two billion, five hundred sixty-five million, four hundred eighty-five thousand, eight hundred eighty".