9814864900 has 27 divisors (see below), whose sum is σ = 21300406869. Its totient is φ = 3925549680.

The previous prime is 9814864889. The next prime is 9814864967. The reversal of 9814864900 is 94684189.

The square root of 9814864900 is 99070.

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

It can be written as a sum of positive squares in only one way, i.e., 3533351364 + 6281513536 = 59442^2 + 79256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 985747 + ... + 995653.

Almost surely, 2^9814864900 is an apocalyptic number.

9814864900 is the 99070-th square number.

It is an amenable number.

9814864900 is an abundant number, since it is smaller than the sum of its proper divisors (11485541969).

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

9814864900 is an frugal number, since it uses more digits than its factorization.

9814864900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19828 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The cubic root of 9814864900 is about 2141.0564047921.

Multiplying 9814864900 by its sum of digits (49), we get a square (480928380100 = 693490²).

The spelling of 9814864900 in words is "nine billion, eight hundred fourteen million, eight hundred sixty-four thousand, nine hundred".