9180966144 has 432 divisors, whose sum is σ = 30601525248. Its totient is φ = 2427715584.

The previous prime is 9180966139. The next prime is 9180966149. The reversal of 9180966144 is 4416690819.

It is an interprime number because it is at equal distance from previous prime (9180966139) and next prime (9180966149).

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

It is a junction number, because it is equal to n+sod(n) for n = 9180966093 and 9180966102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9180966149) 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 47 ways as a sum of consecutive naturals, for example, 72291009 + ... + 72291135.

It is an arithmetic number, because the mean of its divisors is an integer number (70836864).

Almost surely, 2^9180966144 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 9180966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300762624).

9180966144 is an abundant number, since it is smaller than the sum of its proper divisors (21420559104).

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

9180966144 is a wasteful number, since it uses less digits than its factorization.

9180966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 9180966144 is about 95817.3582603904. The cubic root of 9180966144 is about 2093.9330671932.

The spelling of 9180966144 in words is "nine billion, one hundred eighty million, nine hundred sixty-six thousand, one hundred forty-four".