11465225541 has 128 divisors (see below), whose sum is σ = 22248161280. Its totient is φ = 5658206400.

The previous prime is 11465225539. The next prime is 11465225591. The reversal of 11465225541 is 14552256411.

11465225541 is a `hidden beast` number, since 1 + 1 + 46 + 52 + 25 + 541 = 666.

11465225541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11465225541 - 2¹ = 11465225539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11465225496 and 11465225505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465225521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7793436 + ... + 7794906.

It is an arithmetic number, because the mean of its divisors is an integer number (173813760).

Almost surely, 2^11465225541 is an apocalyptic number.

11465225541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11465225541 is a deficient number, since it is larger than the sum of its proper divisors (10782935739).

11465225541 is a wasteful number, since it uses less digits than its factorization.

11465225541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1678 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 11465225541 in words is "eleven billion, four hundred sixty-five million, two hundred twenty-five thousand, five hundred forty-one".