9787144900 has 81 divisors (see below), whose sum is σ = 23027733813. Its totient is φ = 3608966400.

The previous prime is 9787144889. The next prime is 9787144907. The reversal of 9787144900 is 94417879.

The square root of 9787144900 is 98930.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7690237636 + 2096907264 = 87694^2 + 45792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9787144907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 12860520 + ... + 12861280.

Almost surely, 2^9787144900 is an apocalyptic number.

9787144900 is the 98930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9787144900

9787144900 is an abundant number, since it is smaller than the sum of its proper divisors (13240588913).

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

9787144900 is a wasteful number, since it uses less digits than its factorization.

9787144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The cubic root of 9787144900 is about 2139.0388512860.

Multiplying 9787144900 by its sum of digits (49), we get a square (479570100100 = 692510²).

The spelling of 9787144900 in words is "nine billion, seven hundred eighty-seven million, one hundred forty-four thousand, nine hundred".