838138638672 has 60 divisors (see below), whose sum is σ = 2426507708820. Its totient is φ = 269745767424.

The previous prime is 838138638641. The next prime is 838138638683. The reversal of 838138638672 is 276836831838.

It is a happy number.

838138638672 is a `hidden beast` number, since 83 + 81 + 38 + 6 + 386 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365971761936 + 472166876736 = 604956^2 + 687144^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 100347673 + ... + 100356024.

It is an arithmetic number, because the mean of its divisors is an integer number (40441795147).

Almost surely, 2^838138638672 is an apocalyptic number.

It is an amenable number.

838138638672 is an abundant number, since it is smaller than the sum of its proper divisors (1588369070148).

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

838138638672 is a wasteful number, since it uses less digits than its factorization.

838138638672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200703740 (or 200703731 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 838138638672 in words is "eight hundred thirty-eight billion, one hundred thirty-eight million, six hundred thirty-eight thousand, six hundred seventy-two".