847891056100 has 135 divisors (see below), whose sum is σ = 2026566410155. Its totient is φ = 307918864000.

The previous prime is 847891056043. The next prime is 847891056137. The reversal of 847891056100 is 1650198748.

The square root of 847891056100 is 920810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 500366657956 + 347524398144 = 707366^2 + 589512^2 .

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, 1114179720 + ... + 1114180480.

Almost surely, 2^847891056100 is an apocalyptic number.

847891056100 is the 920810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847891056100

847891056100 is an abundant number, since it is smaller than the sum of its proper divisors (1178675354055).

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

847891056100 is an frugal number, since it uses more digits than its factorization.

847891056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 847891056100 by its sum of digits (49), we get a square (41546661748900 = 6445670²).

The spelling of 847891056100 in words is "eight hundred forty-seven billion, eight hundred ninety-one million, fifty-six thousand, one hundred".