9351013351680 has 2160 divisors, whose sum is σ = 45270691479552. Its totient is φ = 1793381990400.

The previous prime is 9351013351651. The next prime is 9351013351681. The reversal of 9351013351680 is 861533101539.

9351013351680 is a `hidden beast` number, since 9 + 3 + 51 + 0 + 1 + 3 + 3 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (9351013351681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141616385 + ... + 1141624575.

Almost surely, 2^{9351013351680} is an apocalyptic number.

9351013351680 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 9351013351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22635345739776).

9351013351680 is an abundant number, since it is smaller than the sum of its proper divisors (35919678127872).

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

9351013351680 is a wasteful number, since it uses less digits than its factorization.

9351013351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 9351013351680 in words is "nine trillion, three hundred fifty-one billion, thirteen million, three hundred fifty-one thousand, six hundred eighty".