839627681344 has 63 divisors (see below), whose sum is σ = 1703038961073. Its totient is φ = 410713029888.

The previous prime is 839627681329. The next prime is 839627681357. The reversal of 839627681344 is 443186726938.

The square root of 839627681344 is 916312.

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

It can be written as a sum of positive squares in only one way, i.e., 790747777600 + 48879903744 = 889240^2 + 221088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 344532094 + ... + 344534530.

Almost surely, 2^839627681344 is an apocalyptic number.

839627681344 is the 916312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 839627681344

839627681344 is an abundant number, since it is smaller than the sum of its proper divisors (863411279729).

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

839627681344 is an frugal number, since it uses more digits than its factorization.

839627681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 2486 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 61.

The spelling of 839627681344 in words is "eight hundred thirty-nine billion, six hundred twenty-seven million, six hundred eighty-one thousand, three hundred forty-four".