819658622500 has 135 divisors (see below), whose sum is σ = 1893720160101. Its totient is φ = 310281552000.

The previous prime is 819658622477. The next prime is 819658622501. The reversal of 819658622500 is 5226856918.

The square root of 819658622500 is 905350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 684799280676 + 134859341824 = 827526^2 + 367232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819658622501) 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, 860082024 + ... + 860082976.

Almost surely, 2^819658622500 is an apocalyptic number.

819658622500 is the 905350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819658622500

819658622500 is an abundant number, since it is smaller than the sum of its proper divisors (1074061537601).

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

819658622500 is an frugal number, since it uses more digits than its factorization.

819658622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 819658622500 in words is "eight hundred nineteen billion, six hundred fifty-eight million, six hundred twenty-two thousand, five hundred".