11715813128569 has 81 divisors (see below), whose sum is σ = 13710210912741. Its totient is φ = 10003172675760.

The previous prime is 11715813128519. The next prime is 11715813128581. The reversal of 11715813128569 is 96582131851711.

It is a happy number.

The square root of 11715813128569 is 3422837.

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

It is not a de Polignac number, because 11715813128569 - 2¹⁹ = 11715812604281 is a prime.

It is a super-2 number, since 2×11715813128569² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (11715813128519) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71876154082 + ... + 71876154244.

Almost surely, 2^{11715813128569} is an apocalyptic number.

11715813128569 is the 3422837-th square number.

11715813128569 is the 1711419-th centered octagonal number.

It is an amenable number.

11715813128569 is a deficient number, since it is larger than the sum of its proper divisors (1994397784172).

11715813128569 is an frugal number, since it uses more digits than its factorization.

11715813128569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 58.

The spelling of 11715813128569 in words is "eleven trillion, seven hundred fifteen billion, eight hundred thirteen million, one hundred twenty-eight thousand, five hundred sixty-nine".