338751813312 has 224 divisors, whose sum is σ = 1099818374400. Its totient is φ = 102651598080.

The previous prime is 338751813289. The next prime is 338751813317. The reversal of 338751813312 is 213318157833.

338751813312 is a `hidden beast` number, since 33 + 87 + 518 + 13 + 3 + 12 = 666.

It is a super-2 number, since 2×338751813312² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338751813317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429639 + ... + 1649657.

Almost surely, 2^338751813312 is an apocalyptic number.

338751813312 is a gapful number since it is divisible by the number (32) 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 338751813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549909187200).

338751813312 is an abundant number, since it is smaller than the sum of its proper divisors (761066561088).

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

338751813312 is an equidigital number, since it uses as much as digits as its factorization.

338751813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220063 (or 220035 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 338751813312 in words is "three hundred thirty-eight billion, seven hundred fifty-one million, eight hundred thirteen thousand, three hundred twelve".