826315728421264 has 225 divisors, whose sum is σ = 1796719233163281. Its totient is φ = 368073843171840.

The previous prime is 826315728421223. The next prime is 826315728421303. The reversal of 826315728421264 is 462124827513628.

The square root of 826315728421264 is 28745708.

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., 643325394099600 + 182990334321664 = 25363860^2 + 13527392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 705649639399 + ... + 705649640569.

Almost surely, 2^{826315728421264} is an apocalyptic number.

826315728421264 is the 28745708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826315728421264

826315728421264 is an abundant number, since it is smaller than the sum of its proper divisors (970403504742017).

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

826315728421264 is an frugal number, since it uses more digits than its factorization.

826315728421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 1209 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 826315728421264 in words is "eight hundred twenty-six trillion, three hundred fifteen billion, seven hundred twenty-eight million, four hundred twenty-one thousand, two hundred sixty-four".