9181608916320 has 288 divisors, whose sum is σ = 31484312496000. Its totient is φ = 2436556050432.

The previous prime is 9181608916309. The next prime is 9181608916339. The reversal of 9181608916320 is 236198061819.

9181608916320 is a `hidden beast` number, since 9 + 1 + 8 + 1 + 608 + 9 + 1 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838574206 + ... + 838585154.

It is an arithmetic number, because the mean of its divisors is an integer number (109320529500).

Almost surely, 2^{9181608916320} is an apocalyptic number.

9181608916320 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 9181608916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742156248000).

9181608916320 is an abundant number, since it is smaller than the sum of its proper divisors (22302703579680).

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

9181608916320 is a wasteful number, since it uses less digits than its factorization.

9181608916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 9181608916320 in words is "nine trillion, one hundred eighty-one billion, six hundred eight million, nine hundred sixteen thousand, three hundred twenty".