9146497920 has 512 divisors, whose sum is σ = 35627212800. Its totient is φ = 1950842880.

The previous prime is 9146497907. The next prime is 9146497937. The reversal of 9146497920 is 297946419.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 12082182 + ... + 12082938.

It is an arithmetic number, because the mean of its divisors is an integer number (69584400).

Almost surely, 2^9146497920 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 9146497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17813606400).

9146497920 is an abundant number, since it is smaller than the sum of its proper divisors (26480714880).

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

9146497920 is a wasteful number, since it uses less digits than its factorization.

9146497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9146497920 is about 95637.3249312213. The cubic root of 9146497920 is about 2091.3093540606.

The spelling of 9146497920 in words is "nine billion, one hundred forty-six million, four hundred ninety-seven thousand, nine hundred twenty".