9971895456 has 432 divisors, whose sum is σ = 32011466760. Its totient is φ = 2937876480.

The previous prime is 9971895449. The next prime is 9971895467. The reversal of 9971895456 is 6545981799.

9971895456 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 89 + 545 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8046090000 + 1925805456 = 89700^2 + 43884^2 .

Its product of digits (24494400) is a multiple of the sum of its prime factors (189).

It is a junction number, because it is equal to n+sod(n) for n = 9971895393 and 9971895402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163473666 + ... + 163473726.

Almost surely, 2^9971895456 is an apocalyptic number.

9971895456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971895456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005733380).

9971895456 is an abundant number, since it is smaller than the sum of its proper divisors (22039571304).

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

9971895456 is a wasteful number, since it uses less digits than its factorization.

9971895456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The square root of 9971895456 is about 99859.3784078391. The cubic root of 9971895456 is about 2152.4144827968.

The spelling of 9971895456 in words is "nine billion, nine hundred seventy-one million, eight hundred ninety-five thousand, four hundred fifty-six".