9254891409408 has 832 divisors, whose sum is σ = 29675943198720. Its totient is φ = 2839832690688.

The previous prime is 9254891409403. The next prime is 9254891409419. The reversal of 9254891409408 is 8049041984529.

9254891409408 is a `hidden beast` number, since 9 + 2 + 5 + 4 + 89 + 140 + 9 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9254891409403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19817754391 + ... + 19817754857.

It is an arithmetic number, because the mean of its divisors is an integer number (35668200960).

Almost surely, 2^{9254891409408} 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 9254891409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837971599360).

9254891409408 is an abundant number, since it is smaller than the sum of its proper divisors (20421051789312).

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

9254891409408 is a wasteful number, since it uses less digits than its factorization.

9254891409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9254891409408 in words is "nine trillion, two hundred fifty-four billion, eight hundred ninety-one million, four hundred nine thousand, four hundred eight".