9354120048000 has 1536 divisors, whose sum is σ = 42680780513280. Its totient is φ = 1909868544000.

The previous prime is 9354120047977. The next prime is 9354120048001. The reversal of 9354120048000 is 8400214539.

9354120048000 is a `hidden beast` number, since 9 + 3 + 54 + 120 + 0 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9354120048001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406212487 + ... + 406235513.

It is an arithmetic number, because the mean of its divisors is an integer number (27786966480).

Almost surely, 2^{9354120048000} is an apocalyptic number.

9354120048000 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 9354120048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340390256640).

9354120048000 is an abundant number, since it is smaller than the sum of its proper divisors (33326660465280).

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

9354120048000 is a wasteful number, since it uses less digits than its factorization.

9354120048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23113 (or 23088 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 9354120048000 in words is "nine trillion, three hundred fifty-four billion, one hundred twenty million, forty-eight thousand".