9741695926561 has 27 divisors (see below), whose sum is σ = 10297092097971. Its totient is φ = 9215488681344.

The previous prime is 9741695926519. The next prime is 9741695926621. The reversal of 9741695926561 is 1656295961479.

The square root of 9741695926561 is 3121169.

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., 4374393165025 + 5367302761536 = 2091505^2 + 2316744^2 .

It is not a de Polignac number, because 9741695926561 - 2⁴³ = 945602904353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9741695926661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6963327340 + ... + 6963328738.

Almost surely, 2^{9741695926561} is an apocalyptic number.

9741695926561 is the 3121169-th square number.

9741695926561 is the 1560585-th centered octagonal number.

It is an amenable number.

9741695926561 is a deficient number, since it is larger than the sum of its proper divisors (555396171410).

9741695926561 is an frugal number, since it uses more digits than its factorization.

9741695926561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 1519 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 70.

The spelling of 9741695926561 in words is "nine trillion, seven hundred forty-one billion, six hundred ninety-five million, nine hundred twenty-six thousand, five hundred sixty-one".