11460712704 has 216 divisors, whose sum is σ = 36445566528. Its totient is φ = 3185602560.

The previous prime is 11460712691. The next prime is 11460712709. The reversal of 11460712704 is 40721706411.

It is not an unprimeable number, because it can be changed into a prime (11460712709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1388269 + ... + 1396499.

Almost surely, 2^11460712704 is an apocalyptic number.

11460712704 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 11460712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222783264).

11460712704 is an abundant number, since it is smaller than the sum of its proper divisors (24984853824).

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

11460712704 is an equidigital number, since it uses as much as digits as its factorization.

11460712704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 11460712704 in words is "eleven billion, four hundred sixty million, seven hundred twelve thousand, seven hundred four".