9745440961 has 9 divisors (see below), whose sum is σ = 10354206499. Its totient is φ = 9170600224.

The previous prime is 9745440959. The next prime is 9745440979. The reversal of 9745440961 is 1690445479.

The square root of 9745440961 is 98719.

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., 7587281025 + 2158159936 = 87105^2 + 46456^2 .

It is not a de Polignac number, because 9745440961 - 2¹ = 9745440959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9745440931) 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, 1675320 + ... + 1681126.

Almost surely, 2^9745440961 is an apocalyptic number.

9745440961 is the 98719-th square number.

9745440961 is the 49360-th centered octagonal number.

It is an amenable number.

9745440961 is a deficient number, since it is larger than the sum of its proper divisors (608765538).

9745440961 is an frugal number, since it uses more digits than its factorization.

9745440961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11648 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The cubic root of 9745440961 is about 2135.9963108580.

Multiplying 9745440961 by its sum of digits (49), we get a square (477526607089 = 691033²).

The spelling of 9745440961 in words is "nine billion, seven hundred forty-five million, four hundred forty thousand, nine hundred sixty-one".