9258496116672 has 336 divisors, whose sum is σ = 27289341749376. Its totient is φ = 2767826688000.

The previous prime is 9258496116647. The next prime is 9258496116677. The reversal of 9258496116672 is 2766116948529.

9258496116672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9258496116677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517534422 + ... + 1517540522.

It is an arithmetic number, because the mean of its divisors is an integer number (81218279016).

Almost surely, 2^{9258496116672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9258496116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644670874688).

9258496116672 is an abundant number, since it is smaller than the sum of its proper divisors (18030845632704).

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

9258496116672 is a wasteful number, since it uses less digits than its factorization.

9258496116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6987 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

It can be divided in two parts, 92584 and 96116672, that added together give a triangular number (96209256 = T₁₃₈₇₁).

The spelling of 9258496116672 in words is "nine trillion, two hundred fifty-eight billion, four hundred ninety-six million, one hundred sixteen thousand, six hundred seventy-two".