11451605664 has 48 divisors (see below), whose sum is σ = 30341431008. Its totient is φ = 3781523712.

The previous prime is 11451605651. The next prime is 11451605713. The reversal of 11451605664 is 46650615411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11451605664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547147 + ... + 567690.

It is an arithmetic number, because the mean of its divisors is an integer number (632113146).

Almost surely, 2^11451605664 is an apocalyptic number.

It is an amenable number.

11451605664 is an abundant number, since it is smaller than the sum of its proper divisors (18889825344).

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

11451605664 is a wasteful number, since it uses less digits than its factorization.

11451605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114957 (or 1114949 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11451605664 in words is "eleven billion, four hundred fifty-one million, six hundred five thousand, six hundred sixty-four".