8981352900 has 351 divisors, whose sum is σ = 31656060471. Its totient is φ = 2210794560.

The previous prime is 8981352889. The next prime is 8981352923. The reversal of 8981352900 is 92531898.

It is a happy number.

The square root of 8981352900 is 94770.

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 2314956996 + 6666395904 = 48114^2 + 81648^2 .

It is a tau number, because it is divible by the number of its divisors (351).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 690873294 + ... + 690873306.

Almost surely, 2^8981352900 is an apocalyptic number.

8981352900 is the 94770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8981352900

8981352900 is an abundant number, since it is smaller than the sum of its proper divisors (22674707571).

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

8981352900 is an equidigital number, since it uses as much as digits as its factorization.

8981352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The cubic root of 8981352900 is about 2078.6462545372.

The spelling of 8981352900 in words is "eight billion, nine hundred eighty-one million, three hundred fifty-two thousand, nine hundred".