338607966607872 has 1280 divisors, whose sum is σ = 1072853732966400. Its totient is φ = 93912673812480.

The previous prime is 338607966607853. The next prime is 338607966607873. The reversal of 338607966607872 is 278706669706833.

It is a super-2 number, since 2×338607966607872² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (338607966607873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 547024178379 + ... + 547024178997.

It is an arithmetic number, because the mean of its divisors is an integer number (838166978880).

Almost surely, 2^{338607966607872} is an apocalyptic number.

338607966607872 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 338607966607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536426866483200).

338607966607872 is an abundant number, since it is smaller than the sum of its proper divisors (734245766358528).

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

338607966607872 is a wasteful number, since it uses less digits than its factorization.

338607966607872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4608866304, while the sum is 78.

The spelling of 338607966607872 in words is "three hundred thirty-eight trillion, six hundred seven billion, nine hundred sixty-six million, six hundred seven thousand, eight hundred seventy-two".