11460678144 has 80 divisors (see below), whose sum is σ = 30558564960. Its totient is φ = 3816898560.

The previous prime is 11460678133. The next prime is 11460678221. The reversal of 11460678144 is 44187606411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11460678096 and 11460678105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284599 + ... + 2289609.

It is an arithmetic number, because the mean of its divisors is an integer number (381982062).

Almost surely, 2^11460678144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11460678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279282480).

11460678144 is an abundant number, since it is smaller than the sum of its proper divisors (19097886816).

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

11460678144 is an equidigital number, since it uses as much as digits as its factorization.

11460678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11460678144 in words is "eleven billion, four hundred sixty million, six hundred seventy-eight thousand, one hundred forty-four".