11382654644761 has 9 divisors (see below), whose sum is σ = 11398611512799. Its totient is φ = 11366720097624.

The previous prime is 11382654644737. The next prime is 11382654644771. The reversal of 11382654644761 is 16744645628311.

It is a happy number.

The square root of 11382654644761 is 3373819.

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., 9590387017225 + 1792267627536 = 3096835^2 + 1338756^2 .

It is not a de Polignac number, because 11382654644761 - 2⁷ = 11382654644633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11382654644696 and 11382654644705.

It is not an unprimeable number, because it can be changed into a prime (11382654644771) 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, 2958837340 + ... + 2958841186.

It is an arithmetic number, because the mean of its divisors is an integer number (1266512390311).

Almost surely, 2^{11382654644761} is an apocalyptic number.

11382654644761 is the 3373819-th square number.

11382654644761 is the 1686910-th centered octagonal number.

It is an amenable number.

11382654644761 is a deficient number, since it is larger than the sum of its proper divisors (15956868038).

11382654644761 is an frugal number, since it uses more digits than its factorization.

11382654644761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 4724 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 58.

The spelling of 11382654644761 in words is "eleven trillion, three hundred eighty-two billion, six hundred fifty-four million, six hundred forty-four thousand, seven hundred sixty-one".