9354744806400 has 1188 divisors, whose sum is σ = 39202740609552. Its totient is φ = 2087835402240.

The previous prime is 9354744806353. The next prime is 9354744806419. The reversal of 9354744806400 is 46084474539.

9354744806400 is a `hidden beast` number, since 9 + 3 + 54 + 74 + 480 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×9354744806400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2982065632 + ... + 2982068768.

Almost surely, 2^{9354744806400} is an apocalyptic number.

9354744806400 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 9354744806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601370304776).

9354744806400 is an abundant number, since it is smaller than the sum of its proper divisors (29847995803152).

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

9354744806400 is a wasteful number, since it uses less digits than its factorization.

9354744806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 9354744806400 in words is "nine trillion, three hundred fifty-four billion, seven hundred forty-four million, eight hundred six thousand, four hundred".