838169546256 has 525 divisors, whose sum is σ = 2856963837149. Its totient is φ = 238092753024.

The previous prime is 838169546219. The next prime is 838169546257. The reversal of 838169546256 is 652645961838.

It is a happy number.

The square root of 838169546256 is 915516.

It is a perfect power (a square), and thus also a powerful number.

838169546256 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 69 + 546 + 25 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762443312400 + 75726233856 = 873180^2 + 275184^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

Its product of digits (74649600) is a multiple of the sum of its prime factors (400).

It is a junction number, because it is equal to n+sod(n) for n = 838169546193 and 838169546202.

It is not an unprimeable number, because it can be changed into a prime (838169546257) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4844910586 + ... + 4844910758.

Almost surely, 2^838169546256 is an apocalyptic number.

838169546256 is the 915516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838169546256

838169546256 is an abundant number, since it is smaller than the sum of its proper divisors (2018794290893).

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

838169546256 is an frugal number, since it uses more digits than its factorization.

838169546256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 185 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 838169546256 in words is "eight hundred thirty-eight billion, one hundred sixty-nine million, five hundred forty-six thousand, two hundred fifty-six".