9447512461200 has 720 divisors, whose sum is σ = 36693823944960. Its totient is φ = 2231061504000.

The previous prime is 9447512461139. The next prime is 9447512461217. The reversal of 9447512461200 is 21642157449.

9447512461200 is a `hidden beast` number, since 9 + 4 + 4 + 7 + 5 + 1 + 24 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1167364354 + ... + 1167372446.

It is an arithmetic number, because the mean of its divisors is an integer number (50963644368).

Almost surely, 2^{9447512461200} is an apocalyptic number.

9447512461200 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 9447512461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346911972480).

9447512461200 is an abundant number, since it is smaller than the sum of its proper divisors (27246311483760).

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

9447512461200 is a wasteful number, since it uses less digits than its factorization.

9447512461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 9447512461200 in words is "nine trillion, four hundred forty-seven billion, five hundred twelve million, four hundred sixty-one thousand, two hundred".