9481104417600 has 252 divisors, whose sum is σ = 35163218996256. Its totient is φ = 2418368578560.

The previous prime is 9481104417599. The next prime is 9481104417601. The reversal of 9481104417600 is 67144011849.

9481104417600 is a `hidden beast` number, since 9 + 481 + 104 + 4 + 1 + 7 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9481104417599) and next prime (9481104417601).

It is a super-3 number, since 3×9481104417600³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9481104417601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13982062 + ... + 14644461.

Almost surely, 2^{9481104417600} is an apocalyptic number.

9481104417600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9481104417600 is an abundant number, since it is smaller than the sum of its proper divisors (25682114578656).

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

9481104417600 is a wasteful number, since it uses less digits than its factorization.

9481104417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28626574 (or 28626556 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 94811044 and 17600, that added together give a square (94828644 = 9738²).

The spelling of 9481104417600 in words is "nine trillion, four hundred eighty-one billion, one hundred four million, four hundred seventeen thousand, six hundred".