9181320346560 has 224 divisors, whose sum is σ = 29239704426240. Its totient is φ = 2440887533568.

The previous prime is 9181320346507. The next prime is 9181320346567. The reversal of 9181320346560 is 656430231819.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9181320346567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433336287 + ... + 433357473.

It is an arithmetic number, because the mean of its divisors is an integer number (130534394760).

Almost surely, 2^{9181320346560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9181320346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619852213120).

9181320346560 is an abundant number, since it is smaller than the sum of its proper divisors (20058384079680).

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

9181320346560 is a wasteful number, since it uses less digits than its factorization.

9181320346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22563 (or 22553 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 9181320346560 in words is "nine trillion, one hundred eighty-one billion, three hundred twenty million, three hundred forty-six thousand, five hundred sixty".