9147249270432 has 2304 divisors, whose sum is σ = 37294193664000. Its totient is φ = 2122246324224.

The previous prime is 9147249270427. The next prime is 9147249270433. The reversal of 9147249270432 is 2340729427419.

9147249270432 is a `hidden beast` number, since 9 + 1 + 47 + 2 + 492 + 70 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9147249270433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34004643994 + ... + 34004644262.

It is an arithmetic number, because the mean of its divisors is an integer number (16186716000).

Almost surely, 2^{9147249270432} 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 9147249270432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647096832000).

9147249270432 is an abundant number, since it is smaller than the sum of its proper divisors (28146944393568).

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

9147249270432 is a wasteful number, since it uses less digits than its factorization.

9147249270432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 9147249270432 in words is "nine trillion, one hundred forty-seven billion, two hundred forty-nine million, two hundred seventy thousand, four hundred thirty-two".