11463479424 has 128 divisors (see below), whose sum is σ = 34144704000. Its totient is φ = 3785978880.

The previous prime is 11463479413. The next prime is 11463479471. The reversal of 11463479424 is 42497436411.

11463479424 is a `hidden beast` number, since 1 + 1 + 4 + 634 + 7 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11463479424² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11463479424.

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 15 ways as a sum of consecutive naturals, for example, 361489 + ... + 391919.

It is an arithmetic number, because the mean of its divisors is an integer number (266755500).

Almost surely, 2^11463479424 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 11463479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072352000).

11463479424 is an abundant number, since it is smaller than the sum of its proper divisors (22681224576).

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

11463479424 is a wasteful number, since it uses less digits than its factorization.

11463479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30563 (or 30545 counting only the distinct ones).

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

The spelling of 11463479424 in words is "eleven billion, four hundred sixty-three million, four hundred seventy-nine thousand, four hundred twenty-four".