338212233216 has 1344 divisors, whose sum is σ = 1284353804160. Its totient is φ = 86633349120.

The previous prime is 338212233187. The next prime is 338212233221. The reversal of 338212233216 is 612332212833.

338212233216 is a `hidden beast` number, since 33 + 82 + 1 + 223 + 321 + 6 = 666.

It is a super-2 number, since 2×338212233216² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9140871150 + ... + 9140871186.

It is an arithmetic number, because the mean of its divisors is an integer number (955620390).

Almost surely, 2^338212233216 is an apocalyptic number.

338212233216 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 338212233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642176902080).

338212233216 is an abundant number, since it is smaller than the sum of its proper divisors (946141570944).

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

338212233216 is a wasteful number, since it uses less digits than its factorization.

338212233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 338212233216 in words is "three hundred thirty-eight billion, two hundred twelve million, two hundred thirty-three thousand, two hundred sixteen".