9712348416 has 108 divisors (see below), whose sum is σ = 29040432512. Its totient is φ = 3237428736.

The previous prime is 9712348409. The next prime is 9712348487. The reversal of 9712348416 is 6148432179.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15856 + ... + 140271.

Almost surely, 2^9712348416 is an apocalyptic number.

9712348416 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 9712348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520216256).

9712348416 is an abundant number, since it is smaller than the sum of its proper divisors (19328084096).

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

9712348416 is an equidigital number, since it uses as much as digits as its factorization.

9712348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156158 (or 156132 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 9712348416 is about 98551.2476633350. The cubic root of 9712348416 is about 2133.5758384046.

The spelling of 9712348416 in words is "nine billion, seven hundred twelve million, three hundred forty-eight thousand, four hundred sixteen".