338223102336000 has 7040 divisors, whose sum is σ = 1623809657733120. Its totient is φ = 68223762432000.

The previous prime is 338223102335981. The next prime is 338223102336061. The reversal of 338223102336000 is 633201322833.

338223102336000 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 2 + 3 + 10 + 2 + 33 + 600 + 0 = 666.

It is a super-2 number, since 2×338223102336000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1415159423881 + ... + 1415159424119.

It is an arithmetic number, because the mean of its divisors is an integer number (230654780928).

Almost surely, 2^{338223102336000} is an apocalyptic number.

338223102336000 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 338223102336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811904828866560).

338223102336000 is an abundant number, since it is smaller than the sum of its proper divisors (1285586555397120).

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

338223102336000 is a wasteful number, since it uses less digits than its factorization.

338223102336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 338223102336000 its reverse (633201322833), we get a palindrome (338856303658833).

The spelling of 338223102336000 in words is "three hundred thirty-eight trillion, two hundred twenty-three billion, one hundred two million, three hundred thirty-six thousand".