11661252065424 has 120 divisors (see below), whose sum is σ = 35214769469880. Its totient is φ = 3581027997696.

The previous prime is 11661252065317. The next prime is 11661252065453. The reversal of 11661252065424 is 42456025216611.

11661252065424 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 12 + 5 + 206 + 5 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2590915175424 + 9070336890000 = 1609632^2 + 3011700^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11661252065424.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5166309 + ... + 7072004.

It is an arithmetic number, because the mean of its divisors is an integer number (293456412249).

Almost surely, 2^{11661252065424} is an apocalyptic number.

It is an amenable number.

11661252065424 is an abundant number, since it is smaller than the sum of its proper divisors (23553517404456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11661252065424 is a wasteful number, since it uses less digits than its factorization.

11661252065424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238849 (or 12238840 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11661252065424 in words is "eleven trillion, six hundred sixty-one billion, two hundred fifty-two million, sixty-five thousand, four hundred twenty-four".