11405034216153 has 12 divisors (see below), whose sum is σ = 16637046613668. Its totient is φ = 7528075389600.

The previous prime is 11405034216133. The next prime is 11405034216211. The reversal of 11405034216153 is 35161243050411.

11405034216153 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 0 + 34 + 2 + 1 + 615 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6001975711449 + 5403058504704 = 2449893^2 + 2324448^2 .

It is not a de Polignac number, because 11405034216153 - 2⁶ = 11405034216089 is a prime.

It is a super-2 number, since 2×11405034216153² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11405034216113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6273395250 + ... + 6273397067.

It is an arithmetic number, because the mean of its divisors is an integer number (1386420551139).

Almost surely, 2^{11405034216153} is an apocalyptic number.

It is an amenable number.

11405034216153 is a deficient number, since it is larger than the sum of its proper divisors (5232012397515).

11405034216153 is a wasteful number, since it uses less digits than its factorization.

11405034216153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546792424 (or 12546792421 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11405034216153 its reverse (35161243050411), we get a palindrome (46566277266564).

The spelling of 11405034216153 in words is "eleven trillion, four hundred five billion, thirty-four million, two hundred sixteen thousand, one hundred fifty-three".