9259897688064 has 351 divisors, whose sum is σ = 27822288093067. Its totient is φ = 3081374244864.

The previous prime is 9259897688059. The next prime is 9259897688077. The reversal of 9259897688064 is 4608867989529.

The square root of 9259897688064 is 3043008.

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

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 15774953179 + ... + 15774953765.

Almost surely, 2^{9259897688064} is an apocalyptic number.

9259897688064 is the 3043008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9259897688064

9259897688064 is an abundant number, since it is smaller than the sum of its proper divisors (18562390405003).

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

9259897688064 is an frugal number, since it uses more digits than its factorization.

9259897688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

Multiplying 9259897688064 by its sum of digits (81), we get a square (750051712733184 = 27387072²).

9259897688064 divided by its sum of digits (81) gives a square (114319724544 = 338112²).

The spelling of 9259897688064 in words is "nine trillion, two hundred fifty-nine billion, eight hundred ninety-seven million, six hundred eighty-eight thousand, sixty-four".