338653269360 has 400 divisors, whose sum is σ = 1345911374016. Its totient is φ = 77309116416.

The previous prime is 338653269343. The next prime is 338653269373. The reversal of 338653269360 is 63962356833.

It is a super-2 number, since 2×338653269360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338653269297 and 338653269306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39776464 + ... + 39784976.

Almost surely, 2^338653269360 is an apocalyptic number.

338653269360 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 338653269360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672955687008).

338653269360 is an abundant number, since it is smaller than the sum of its proper divisors (1007258104656).

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

338653269360 is a wasteful number, since it uses less digits than its factorization.

338653269360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 338653269360 in words is "three hundred thirty-eight billion, six hundred fifty-three million, two hundred sixty-nine thousand, three hundred sixty".