9468146272 has 144 divisors (see below), whose sum is σ = 21525506352. Its totient is φ = 4073794560.

The previous prime is 9468146269. The next prime is 9468146279. The reversal of 9468146272 is 2726418649.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468146279) 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 23 ways as a sum of consecutive naturals, for example, 10061322 + ... + 10062262.

It is an arithmetic number, because the mean of its divisors is an integer number (149482683).

Almost surely, 2^9468146272 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 9468146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10762753176).

9468146272 is an abundant number, since it is smaller than the sum of its proper divisors (12057360080).

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

9468146272 is a wasteful number, since it uses less digits than its factorization.

9468146272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1042 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The square root of 9468146272 is about 97304.4000649508. The cubic root of 9468146272 is about 2115.5420051434.

The spelling of 9468146272 in words is "nine billion, four hundred sixty-eight million, one hundred forty-six thousand, two hundred seventy-two".