9631071216 has 240 divisors, whose sum is σ = 30767405760. Its totient is φ = 2790789120.

The previous prime is 9631071211. The next prime is 9631071269. The reversal of 9631071216 is 6121701369.

9631071216 is a `hidden beast` number, since 9 + 631 + 0 + 7 + 1 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9631071211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223645 + ... + 2227971.

It is an arithmetic number, because the mean of its divisors is an integer number (128197524).

Almost surely, 2^9631071216 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 9631071216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383702880).

9631071216 is an abundant number, since it is smaller than the sum of its proper divisors (21136334544).

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

9631071216 is a wasteful number, since it uses less digits than its factorization.

9631071216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9631071216 is about 98138.0212557804. The cubic root of 9631071216 is about 2127.6075922469.

The spelling of 9631071216 in words is "nine billion, six hundred thirty-one million, seventy-one thousand, two hundred sixteen".