868978196100 has 729 divisors, whose sum is σ = 3329459305263. Its totient is φ = 189003386880.

The previous prime is 868978196087. The next prime is 868978196147. The reversal of 868978196100 is 1691879868.

The square root of 868978196100 is 932190.

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

868978196100 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 7 + 8 + 1 + 9 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139757840964 + 729220355136 = 373842^2 + 853944^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4502477604 + ... + 4502477796.

Almost surely, 2^868978196100 is an apocalyptic number.

868978196100 is the 932190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868978196100

868978196100 is an abundant number, since it is smaller than the sum of its proper divisors (2460481109163).

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

868978196100 is a wasteful number, since it uses less digits than its factorization.

868978196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 868978196100 in words is "eight hundred sixty-eight billion, nine hundred seventy-eight million, one hundred ninety-six thousand, one hundred".