11034534617929 has 27 divisors (see below), whose sum is σ = 11702425796397. Its totient is φ = 10403244649368.

The previous prime is 11034534617923. The next prime is 11034534617971. The reversal of 11034534617929 is 92971643543011.

It is a happy number.

The square root of 11034534617929 is 3321827.

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

It is not a de Polignac number, because 11034534617929 - 2³¹ = 11032387134281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11034534617929.

It is not an unprimeable number, because it can be changed into a prime (11034534617923) 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, 22658181724 + ... + 22658182210.

Almost surely, 2^{11034534617929} is an apocalyptic number.

11034534617929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11034534617929 is the 3321827-th square number.

11034534617929 is the 1660914-th centered octagonal number.

It is an amenable number.

11034534617929 is a deficient number, since it is larger than the sum of its proper divisors (667891178468).

11034534617929 is an frugal number, since it uses more digits than its factorization.

11034534617929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 11034534617929 in words is "eleven trillion, thirty-four billion, five hundred thirty-four million, six hundred seventeen thousand, nine hundred twenty-nine".