9032445886464 has 3072 divisors, whose sum is σ = 38557480550400. Its totient is φ = 2051171942400.

The previous prime is 9032445886447. The next prime is 9032445886493. The reversal of 9032445886464 is 4646885442309.

It is a happy number.

9032445886464 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 4 + 4 + 588 + 6 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 192179699689 + ... + 192179699735.

It is an arithmetic number, because the mean of its divisors is an integer number (12551263200).

Almost surely, 2^{9032445886464} is an apocalyptic number.

9032445886464 is a gapful number since it is divisible by the number (94) 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 9032445886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278740275200).

9032445886464 is an abundant number, since it is smaller than the sum of its proper divisors (29525034663936).

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

9032445886464 is a wasteful number, since it uses less digits than its factorization.

9032445886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 9032445886464 in words is "nine trillion, thirty-two billion, four hundred forty-five million, eight hundred eighty-six thousand, four hundred sixty-four".