11064744029641 has 9 divisors (see below), whose sum is σ = 11341337864839. Its totient is φ = 10794739169200.

The previous prime is 11064744029629. The next prime is 11064744029687. The reversal of 11064744029641 is 14692044746011.

The square root of 11064744029641 is 3326371.

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., 533161372041 + 10531582657600 = 730179^2 + 3245240^2 .

It is not a de Polignac number, because 11064744029641 - 2¹¹ = 11064744027593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11064744026641) 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, 136340646 + ... + 136421776.

Almost surely, 2^{11064744029641} is an apocalyptic number.

11064744029641 is the 3326371-st square number.

11064744029641 is the 1663186-th centered octagonal number.

It is an amenable number.

11064744029641 is a deficient number, since it is larger than the sum of its proper divisors (276593835198).

11064744029641 is an frugal number, since it uses more digits than its factorization.

11064744029641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162344 (or 81172 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 11064744029641 by its sum of digits (49), we get a square (542172457452409 = 23284597²).

The spelling of 11064744029641 in words is "eleven trillion, sixty-four billion, seven hundred forty-four million, twenty-nine thousand, six hundred forty-one".