838748566656 has 2304 divisors, whose sum is σ = 3539575603200. Its totient is φ = 192148070400.

The previous prime is 838748566613. The next prime is 838748566661. The reversal of 838748566656 is 656665847838.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10617070425 + ... + 10617070503.

Almost surely, 2^838748566656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838748566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769787801600).

838748566656 is an abundant number, since it is smaller than the sum of its proper divisors (2700827036544).

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

838748566656 is a wasteful number, since it uses less digits than its factorization.

838748566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 838748566656 in words is "eight hundred thirty-eight billion, seven hundred forty-eight million, five hundred sixty-six thousand, six hundred fifty-six".