9346082144256 has 1440 divisors, whose sum is σ = 34671929292000. Its totient is φ = 2476694568960.

The previous prime is 9346082144221. The next prime is 9346082144257. The reversal of 9346082144256 is 6524412806439.

9346082144256 is a `hidden beast` number, since 9 + 3 + 4 + 608 + 2 + 1 + 4 + 4 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9346082144257) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 491899060215 + ... + 491899060233.

It is an arithmetic number, because the mean of its divisors is an integer number (24077728675).

Almost surely, 2^{9346082144256} is an apocalyptic number.

9346082144256 is a gapful number since it is divisible by the number (96) 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 9346082144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335964646000).

9346082144256 is an abundant number, since it is smaller than the sum of its proper divisors (25325847147744).

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

9346082144256 is an frugal number, since it uses more digits than its factorization.

9346082144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 9346082144256 in words is "nine trillion, three hundred forty-six billion, eighty-two million, one hundred forty-four thousand, two hundred fifty-six".