838129223808 has 360 divisors, whose sum is σ = 2574086119605. Its totient is φ = 271825694208.

The previous prime is 838129223803. The next prime is 838129223843. The reversal of 838129223808 is 808322921838.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

838129223808 is a `hidden beast` number, since 8 + 381 + 29 + 2 + 238 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 676197025344 + 161932198464 = 822312^2 + 402408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=647352.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (838129223803) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22652141166 + ... + 22652141202.

Almost surely, 2^838129223808 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 838129223808

838129223808 is an abundant number, since it is smaller than the sum of its proper divisors (1735956895797).

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

838129223808 is an frugal number, since it uses more digits than its factorization.

838129223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 838129223808 in words is "eight hundred thirty-eight billion, one hundred twenty-nine million, two hundred twenty-three thousand, eight hundred eight".