8311968900 has 135 divisors (see below), whose sum is σ = 26970744031. Its totient is φ = 2214336960.

The previous prime is 8311968883. The next prime is 8311968943. The reversal of 8311968900 is 98691138.

The square root of 8311968900 is 91170.

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 4960948356 + 3351020544 = 70434^2 + 57888^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8204794 + ... + 8205806.

Almost surely, 2^8311968900 is an apocalyptic number.

8311968900 is the 91170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8311968900

8311968900 is an abundant number, since it is smaller than the sum of its proper divisors (18658775131).

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

8311968900 is a wasteful number, since it uses less digits than its factorization.

8311968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The cubic root of 8311968900 is about 2025.6666118090. Note that the first 4 decimals are identical.

The spelling of 8311968900 in words is "eight billion, three hundred eleven million, nine hundred sixty-eight thousand, nine hundred".