11460766464 has 504 divisors, whose sum is σ = 40606856192. Its totient is φ = 3157678080.

The previous prime is 11460766463. The next prime is 11460766489. The reversal of 11460766464 is 46466706411.

11460766464 is a `hidden beast` number, since 1 + 1 + 460 + 76 + 64 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (11460766463) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40497267 + ... + 40497549.

Almost surely, 2^11460766464 is an apocalyptic number.

11460766464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11460766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303428096).

11460766464 is an abundant number, since it is smaller than the sum of its proper divisors (29146089728).

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

11460766464 is an frugal number, since it uses more digits than its factorization.

11460766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

It can be divided in two parts, 11460 and 766464, that added together give a square (777924 = 882²).

The spelling of 11460766464 in words is "eleven billion, four hundred sixty million, seven hundred sixty-six thousand, four hundred sixty-four".