8971705152 has 280 divisors, whose sum is σ = 28373628800. Its totient is φ = 2794881024.

The previous prime is 8971705123. The next prime is 8971705177. The reversal of 8971705152 is 2515071798.

It is a junction number, because it is equal to n+sod(n) for n = 8971705098 and 8971705107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7780608 + ... + 7781760.

Almost surely, 2^8971705152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8971705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186814400).

8971705152 is an abundant number, since it is smaller than the sum of its proper divisors (19401923648).

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

8971705152 is a wasteful number, since it uses less digits than its factorization.

8971705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 8971705152 is about 94719.0854685580. The cubic root of 8971705152 is about 2077.9016955790.

The spelling of 8971705152 in words is "eight billion, nine hundred seventy-one million, seven hundred five thousand, one hundred fifty-two".