11146069676329 has 27 divisors (see below), whose sum is σ = 13026441875031. Its totient is φ = 9509324247360.

The previous prime is 11146069676317. The next prime is 11146069676333. The reversal of 11146069676329 is 92367696064111.

The square root of 11146069676329 is 3338573.

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., 8382628906729 + 2763440769600 = 2895277^2 + 1662360^2 .

It is not a de Polignac number, because 11146069676329 - 2⁷ = 11146069676201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11146069676359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5632171662 + ... + 5632173640.

Almost surely, 2^{11146069676329} is an apocalyptic number.

11146069676329 is the 3338573-rd square number.

11146069676329 is the 1669287-th centered octagonal number.

It is an amenable number.

11146069676329 is a deficient number, since it is larger than the sum of its proper divisors (1880372198702).

11146069676329 is an frugal number, since it uses more digits than its factorization.

11146069676329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 11146069676329 in words is "eleven trillion, one hundred forty-six billion, sixty-nine million, six hundred seventy-six thousand, three hundred twenty-nine".