9952849256 has 64 divisors (see below), whose sum is σ = 21550924800. Its totient is φ = 4220955648.

The previous prime is 9952849241. The next prime is 9952849267. The reversal of 9952849256 is 6529482599.

It is a junction number, because it is equal to n+sod(n) for n = 9952849195 and 9952849204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6915785 + ... + 6917223.

It is an arithmetic number, because the mean of its divisors is an integer number (336733200).

Almost surely, 2^9952849256 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 9952849256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775462400).

9952849256 is an abundant number, since it is smaller than the sum of its proper divisors (11598075544).

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

9952849256 is a wasteful number, since it uses less digits than its factorization.

9952849256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 59.

The square root of 9952849256 is about 99763.9677238230. The cubic root of 9952849256 is about 2151.0432475145.

The spelling of 9952849256 in words is "nine billion, nine hundred fifty-two million, eight hundred forty-nine thousand, two hundred fifty-six".