838537624089 has 27 divisors (see below), whose sum is σ = 1331390084479. Its totient is φ = 508186306320.

The previous prime is 838537624069. The next prime is 838537624121. The reversal of 838537624089 is 980426735838.

The square root of 838537624089 is 915717.

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

838537624089 is a `hidden beast` number, since 8 + 38 + 537 + 62 + 4 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 222720756489 + 615816867600 = 471933^2 + 784740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-838537624089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838537624069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30204787 + ... + 30232535.

Almost surely, 2^838537624089 is an apocalyptic number.

838537624089 is the 915717-th square number.

838537624089 is the 457859-th centered octagonal number.

It is an amenable number.

838537624089 is a deficient number, since it is larger than the sum of its proper divisors (492852460390).

838537624089 is an frugal number, since it uses more digits than its factorization.

838537624089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55526 (or 27763 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 838537624089 in words is "eight hundred thirty-eight billion, five hundred thirty-seven million, six hundred twenty-four thousand, eighty-nine".