9259648394400 has 216 divisors, whose sum is σ = 32661942994044. Its totient is φ = 2468475187200.

The previous prime is 9259648394377. The next prime is 9259648394401. The reversal of 9259648394400 is 44938469529.

9259648394400 is a `hidden beast` number, since 9 + 2 + 5 + 9 + 64 + 83 + 94 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5705352633744 + 3554295760656 = 2388588^2 + 1885284^2 .

It is a super-4 number, since 4×9259648394400⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (9259648394401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23252970 + ... + 23647830.

Almost surely, 2^{9259648394400} is an apocalyptic number.

9259648394400 is a gapful number since it is divisible by the number (90) 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 9259648394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330971497022).

9259648394400 is an abundant number, since it is smaller than the sum of its proper divisors (23402294599644).

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

9259648394400 is a wasteful number, since it uses less digits than its factorization.

9259648394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398144 (or 398128 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 9259648394400 in words is "nine trillion, two hundred fifty-nine billion, six hundred forty-eight million, three hundred ninety-four thousand, four hundred".