822652628004 has 135 divisors (see below), whose sum is σ = 2206103935651. Its totient is φ = 267311629440.

The previous prime is 822652627981. The next prime is 822652628009. The reversal of 822652628004 is 400826256228.

The square root of 822652628004 is 907002.

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

822652628004 is a `hidden beast` number, since 82 + 26 + 526 + 28 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9409388004 + 813243240000 = 97002^2 + 901800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822652628009) 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, 669366862 + ... + 669368090.

Almost surely, 2^822652628004 is an apocalyptic number.

822652628004 is the 907002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822652628004

822652628004 is an abundant number, since it is smaller than the sum of its proper divisors (1383451307647).

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

822652628004 is an equidigital number, since it uses as much as digits as its factorization.

822652628004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 822652628004 in words is "eight hundred twenty-two billion, six hundred fifty-two million, six hundred twenty-eight thousand, four".