9351165096000 has 4480 divisors, whose sum is σ = 45992939865600. Its totient is φ = 1843546521600.

The previous prime is 9351165095957. The next prime is 9351165096001. The reversal of 9351165096000 is 6905611539.

9351165096000 is a `hidden beast` number, since 9 + 35 + 1 + 1 + 6 + 5 + 0 + 9 + 600 + 0 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9351165096000 = 10500³ + 20160³ = 12390³ + 19530³.

It is not an unprimeable number, because it can be changed into a prime (9351165096001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 128098151964 + ... + 128098152036.

It is an arithmetic number, because the mean of its divisors is an integer number (10266281220).

Almost surely, 2^{9351165096000} is an apocalyptic number.

9351165096000 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 9351165096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22996469932800).

9351165096000 is an abundant number, since it is smaller than the sum of its proper divisors (36641774769600).

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

9351165096000 is a wasteful number, since it uses less digits than its factorization.

9351165096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 9351165096000 in words is "nine trillion, three hundred fifty-one billion, one hundred sixty-five million, ninety-six thousand".