9712248136704 has 231 divisors, whose sum is σ = 29117273724147. Its totient is φ = 3236518508544.

The previous prime is 9712248136693. The next prime is 9712248136733. The reversal of 9712248136704 is 4076318422179.

The square root of 9712248136704 is 3116448.

It is a perfect power (a square), and thus also a powerful number.

9712248136704 is a `hidden beast` number, since 9 + 7 + 122 + 481 + 36 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2692609269 + ... + 2692612875.

Almost surely, 2^{9712248136704} is an apocalyptic number.

9712248136704 is the 3116448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9712248136704

9712248136704 is an abundant number, since it is smaller than the sum of its proper divisors (19405025587443).

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

9712248136704 is an frugal number, since it uses more digits than its factorization.

9712248136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 9712248136704 in words is "nine trillion, seven hundred twelve billion, two hundred forty-eight million, one hundred thirty-six thousand, seven hundred four".