818970700900 has 243 divisors, whose sum is σ = 2066409012843. Its totient is φ = 281481868800.

The previous prime is 818970700897. The next prime is 818970700931. The reversal of 818970700900 is 9007079818.

The square root of 818970700900 is 904970.

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 250346119716 + 568624581184 = 500346^2 + 754072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1891387084 + ... + 1891387516.

Almost surely, 2^818970700900 is an apocalyptic number.

818970700900 is the 904970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818970700900

818970700900 is an abundant number, since it is smaller than the sum of its proper divisors (1247438311943).

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

818970700900 is a wasteful number, since it uses less digits than its factorization.

818970700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 49.

Multiplying 818970700900 by its sum of digits (49), we get a square (40129564344100 = 6334790²).

The spelling of 818970700900 in words is "eight hundred eighteen billion, nine hundred seventy million, seven hundred thousand, nine hundred".