9146329920 has 448 divisors, whose sum is σ = 39715683840. Its totient is φ = 1929609216.

The previous prime is 9146329909. The next prime is 9146329967. The reversal of 9146329920 is 299236419.

It is a happy number.

9146329920 is a `hidden beast` number, since 9 + 1 + 4 + 632 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 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, 780424 + ... + 792056.

It is an arithmetic number, because the mean of its divisors is an integer number (88651080).

Almost surely, 2^9146329920 is an apocalyptic number.

9146329920 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 9146329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857841920).

9146329920 is an abundant number, since it is smaller than the sum of its proper divisors (30569353920).

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

9146329920 is a wasteful number, since it uses less digits than its factorization.

9146329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 9146329920 is about 95636.4466090203. The cubic root of 9146329920 is about 2091.2965498112.

The spelling of 9146329920 in words is "nine billion, one hundred forty-six million, three hundred twenty-nine thousand, nine hundred twenty".