9649727172801 has 9 divisors (see below), whose sum is σ = 13938508266241. Its totient is φ = 6433145235732.

The previous prime is 9649727172779. The next prime is 9649727172809. The reversal of 9649727172801 is 1082717279469.

The square root of 9649727172801 is 3106401.

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

9649727172801 is a `hidden beast` number, since 9 + 6 + 497 + 2 + 71 + 72 + 8 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-9649727172801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9649727172809) 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, 8801470 + ... + 9836936.

Almost surely, 2^{9649727172801} is an apocalyptic number.

9649727172801 is the 3106401-st square number.

9649727172801 is the 1553201-st centered octagonal number.

It is an amenable number.

9649727172801 is a deficient number, since it is larger than the sum of its proper divisors (4288781093440).

9649727172801 is an frugal number, since it uses more digits than its factorization.

9649727172801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070940 (or 1035470 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 9649727172801 in words is "nine trillion, six hundred forty-nine billion, seven hundred twenty-seven million, one hundred seventy-two thousand, eight hundred one".