9137085984 has 384 divisors, whose sum is σ = 30309189120. Its totient is φ = 2656862208.

The previous prime is 9137085929. The next prime is 9137086003. The reversal of 9137085984 is 4895807319.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9137085984.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29191812 + ... + 29192124.

It is an arithmetic number, because the mean of its divisors is an integer number (78930180).

Almost surely, 2^9137085984 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 9137085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154594560).

9137085984 is an abundant number, since it is smaller than the sum of its proper divisors (21172103136).

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

9137085984 is a wasteful number, since it uses less digits than its factorization.

9137085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9137085984 is about 95588.1058709712. The cubic root of 9137085984 is about 2090.5917743076.

The spelling of 9137085984 in words is "nine billion, one hundred thirty-seven million, eighty-five thousand, nine hundred eighty-four".