9479805705216 has 2464 divisors, whose sum is σ = 37733888378880. Its totient is φ = 2326798172160.

The previous prime is 9479805705077. The next prime is 9479805705229. The reversal of 9479805705216 is 6125075089749.

9479805705216 is a `hidden beast` number, since 9 + 4 + 7 + 9 + 8 + 0 + 570 + 52 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201697993705 + ... + 201697993751.

Almost surely, 2^{9479805705216} is an apocalyptic number.

9479805705216 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 9479805705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866944189440).

9479805705216 is an abundant number, since it is smaller than the sum of its proper divisors (28254082673664).

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

9479805705216 is an equidigital number, since it uses as much as digits as its factorization.

9479805705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 9479805705216 in words is "nine trillion, four hundred seventy-nine billion, eight hundred five million, seven hundred five thousand, two hundred sixteen".