10365479721 has 9 divisors (see below), whose sum is σ = 14972800791. Its totient is φ = 6910116192.

The previous prime is 10365479699. The next prime is 10365479741. The reversal of 10365479721 is 12797456301.

The square root of 10365479721 is 101811.

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

10365479721 is a `hidden beast` number, since 1 + 0 + 36 + 547 + 9 + 72 + 1 = 666.

10365479721 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10266755625 + 98724096 = 101325^2 + 9936^2 .

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

It is not a de Polignac number, because 10365479721 - 2⁵ = 10365479689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10365479741) 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 8 ways as a sum of consecutive naturals, for example, 288465 + ... + 322401.

Almost surely, 2^10365479721 is an apocalyptic number.

10365479721 is the 101811-st square number.

10365479721 is the 50906-th centered octagonal number.

It is an amenable number.

10365479721 is a deficient number, since it is larger than the sum of its proper divisors (4607321070).

10365479721 is an frugal number, since it uses more digits than its factorization.

10365479721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67880 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10365479721 in words is "ten billion, three hundred sixty-five million, four hundred seventy-nine thousand, seven hundred twenty-one".