11485079424 has 960 divisors, whose sum is σ = 44911056960. Its totient is φ = 2884460544.

The previous prime is 11485079407. The next prime is 11485079491. The reversal of 11485079424 is 42497058411.

11485079424 is a `hidden beast` number, since 11 + 48 + 507 + 94 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11485079424.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 244363369 + ... + 244363415.

It is an arithmetic number, because the mean of its divisors is an integer number (46782351).

Almost surely, 2^11485079424 is an apocalyptic number.

11485079424 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 11485079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455528480).

11485079424 is an abundant number, since it is smaller than the sum of its proper divisors (33425977536).

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

11485079424 is a wasteful number, since it uses less digits than its factorization.

11485079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11485079424 in words is "eleven billion, four hundred eighty-five million, seventy-nine thousand, four hundred twenty-four".