11540514465 has 48 divisors (see below), whose sum is σ = 20194012800. Its totient is φ = 6096625920.

The previous prime is 11540514463. The next prime is 11540514473. The reversal of 11540514465 is 56441504511.

11540514465 is a `hidden beast` number, since 1 + 1 + 540 + 51 + 4 + 4 + 65 = 666.

It is not a de Polignac number, because 11540514465 - 2¹ = 11540514463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11540514463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083750 + ... + 2089280.

It is an arithmetic number, because the mean of its divisors is an integer number (420708600).

Almost surely, 2^11540514465 is an apocalyptic number.

11540514465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11540514465 is a deficient number, since it is larger than the sum of its proper divisors (8653498335).

11540514465 is a wasteful number, since it uses less digits than its factorization.

11540514465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5971 counting only the distinct ones).

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

The spelling of 11540514465 in words is "eleven billion, five hundred forty million, five hundred fourteen thousand, four hundred sixty-five".