9744630046321 has 9 divisors (see below), whose sum is σ = 9759057722379. Its totient is φ = 9730223682336.

The previous prime is 9744630046303. The next prime is 9744630046471. The reversal of 9744630046321 is 1236400364479.

The square root of 9744630046321 is 3121639.

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

It can be written as a sum of positive squares in only one way, i.e., 1766626431025 + 7978003615296 = 1329145^2 + 2824536^2 .

It is not a de Polignac number, because 9744630046321 - 2¹¹ = 9744630044273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9744630046301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2569107001 + ... + 2569110793.

It is an arithmetic number, because the mean of its divisors is an integer number (1084339746931).

Almost surely, 2^{9744630046321} is an apocalyptic number.

9744630046321 is the 3121639-th square number.

9744630046321 is the 1560820-th centered octagonal number.

It is an amenable number.

9744630046321 is a deficient number, since it is larger than the sum of its proper divisors (14427676058).

9744630046321 is an frugal number, since it uses more digits than its factorization.

9744630046321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 9744630046321 by its sum of digits (49), we get a square (477486872269729 = 21851473²).

The spelling of 9744630046321 in words is "nine trillion, seven hundred forty-four billion, six hundred thirty million, forty-six thousand, three hundred twenty-one".