9032718449664 has 1056 divisors, whose sum is σ = 34150886654976. Its totient is φ = 2231445749760.

The previous prime is 9032718449659. The next prime is 9032718449747. The reversal of 9032718449664 is 4669448172309.

It is a happy number.

9032718449664 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 7 + 1 + 84 + 496 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3236372109 + ... + 3236374899.

Almost surely, 2^{9032718449664} 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 9032718449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075443327488).

9032718449664 is an abundant number, since it is smaller than the sum of its proper divisors (25118168205312).

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

9032718449664 is a wasteful number, since it uses less digits than its factorization.

9032718449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 9032718449664 in words is "nine trillion, thirty-two billion, seven hundred eighteen million, four hundred forty-nine thousand, six hundred sixty-four".