9014405760000 has 1155 divisors, whose sum is σ = 34005893561211. Its totient is φ = 2386547712000.

The previous prime is 9014405759977. The next prime is 9014405760007. The reversal of 9014405760000 is 675044109.

The square root of 9014405760000 is 3002400.

It is a perfect power (a square), and thus also a powerful number.

9014405760000 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 40 + 5 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 706729411584 + 8307676348416 = 840672^2 + 2882304^2 .

It is a super-2 number, since 2×9014405760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9014405760007) 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 104 ways as a sum of consecutive naturals, for example, 64851839931 + ... + 64851840069.

Almost surely, 2^{9014405760000} is an apocalyptic number.

9014405760000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9014405760000 is the 3002400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9014405760000

9014405760000 is an abundant number, since it is smaller than the sum of its proper divisors (24991487801211).

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

9014405760000 is an frugal number, since it uses more digits than its factorization.

9014405760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 9014405760000 by its sum of digits (36), we get a square (324518607360000 = 18014400²).

9014405760000 divided by its sum of digits (36) gives a square (250400160000 = 500400²).

The spelling of 9014405760000 in words is "nine trillion, fourteen billion, four hundred five million, seven hundred sixty thousand".