9961928361 has 192 divisors, whose sum is σ = 19560652800. Its totient is φ = 4730918400.

The previous prime is 9961928357. The next prime is 9961928377. The reversal of 9961928361 is 1638291699.

9961928361 is a `hidden beast` number, since 9 + 96 + 192 + 8 + 361 = 666.

9961928361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9961928361 - 2² = 9961928357 is a prime.

It is a super-2 number, since 2×9961928361² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9961928298 and 9961928307.

It is not an unprimeable number, because it can be changed into a prime (9961928321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63451695 + ... + 63451851.

It is an arithmetic number, because the mean of its divisors is an integer number (101878400).

Almost surely, 2^9961928361 is an apocalyptic number.

It is an amenable number.

9961928361 is a deficient number, since it is larger than the sum of its proper divisors (9598724439).

9961928361 is a wasteful number, since it uses less digits than its factorization.

9961928361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 337 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9961928361 is about 99809.4602780718. The cubic root of 9961928361 is about 2151.6971176325.

The spelling of 9961928361 in words is "nine billion, nine hundred sixty-one million, nine hundred twenty-eight thousand, three hundred sixty-one".