9257164398768 has 160 divisors (see below), whose sum is σ = 28480037160960. Its totient is φ = 2553945016320.

The previous prime is 9257164398767. The next prime is 9257164398817. The reversal of 9257164398768 is 8678934617529.

It is a self number, because there is not a number n which added to its sum of digits gives 9257164398768.

It is not an unprimeable number, because it can be changed into a prime (9257164398767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8736288 + ... + 9738431.

It is an arithmetic number, because the mean of its divisors is an integer number (178000232256).

Almost surely, 2^{9257164398768} is an apocalyptic number.

It is an amenable number.

9257164398768 is an abundant number, since it is smaller than the sum of its proper divisors (19222872762192).

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

9257164398768 is a wasteful number, since it uses less digits than its factorization.

9257164398768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18474827 (or 18474821 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 75.

The spelling of 9257164398768 in words is "nine trillion, two hundred fifty-seven billion, one hundred sixty-four million, three hundred ninety-eight thousand, seven hundred sixty-eight".