11529902416041 has 9 divisors (see below), whose sum is σ = 16654318203991. Its totient is φ = 7686594819552.

The previous prime is 11529902416033. The next prime is 11529902416133. The reversal of 11529902416041 is 14061420992511.

The square root of 11529902416041 is 3395571.

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

11529902416041 is a `hidden beast` number, since 1 + 1 + 529 + 9 + 0 + 24 + 1 + 60 + 41 = 666.

11529902416041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2794898522025 + 8735003894016 = 1671795^2 + 2955504^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11529902416041 - 2³ = 11529902416033 is a prime.

It is a super-2 number, since 2×11529902416041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11529902416001) 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, 9620785 + ... + 10752641.

Almost surely, 2^{11529902416041} is an apocalyptic number.

11529902416041 is the 3395571-st square number.

11529902416041 is the 1697786-th centered octagonal number.

It is an amenable number.

11529902416041 is a deficient number, since it is larger than the sum of its proper divisors (5124415787950).

11529902416041 is an frugal number, since it uses more digits than its factorization.

11529902416041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263720 (or 1131860 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11529902416041 in words is "eleven trillion, five hundred twenty-nine billion, nine hundred two million, four hundred sixteen thousand, forty-one".