9201308346720 has 1152 divisors, whose sum is σ = 40570784077824. Its totient is φ = 1849312346112.

The previous prime is 9201308346719. The next prime is 9201308346803. The reversal of 9201308346720 is 276438031029.

9201308346720 is a `hidden beast` number, since 9 + 201 + 30 + 8 + 346 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169447894 + ... + 169502186.

It is an arithmetic number, because the mean of its divisors is an integer number (35217694512).

Almost surely, 2^{9201308346720} is an apocalyptic number.

9201308346720 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 9201308346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285392038912).

9201308346720 is an abundant number, since it is smaller than the sum of its proper divisors (31369475731104).

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

9201308346720 is a wasteful number, since it uses less digits than its factorization.

9201308346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54404 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 9201308346720 in words is "nine trillion, two hundred one billion, three hundred eight million, three hundred forty-six thousand, seven hundred twenty".