848775264100 has 81 divisors (see below), whose sum is σ = 1855720269921. Its totient is φ = 336971030400.

The previous prime is 848775264049. The next prime is 848775264101. The reversal of 848775264100 is 1462577848.

The square root of 848775264100 is 921290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 773826346276 + 74948917824 = 879674^2 + 273768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (848775264101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1667534646 + ... + 1667535154.

Almost surely, 2^848775264100 is an apocalyptic number.

848775264100 is the 921290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 848775264100

848775264100 is an abundant number, since it is smaller than the sum of its proper divisors (1006945005821).

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

848775264100 is an equidigital number, since it uses as much as digits as its factorization.

848775264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 848775264100 in words is "eight hundred forty-eight billion, seven hundred seventy-five million, two hundred sixty-four thousand, one hundred".