11464779816 has 192 divisors, whose sum is σ = 38266300800. Its totient is φ = 3027456000.

The previous prime is 11464779803. The next prime is 11464779827. The reversal of 11464779816 is 61897746411.

11464779816 is a `hidden beast` number, since 11 + 464 + 77 + 98 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378016 + ... + 407216.

It is an arithmetic number, because the mean of its divisors is an integer number (199303650).

Almost surely, 2^11464779816 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 11464779816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133150400).

11464779816 is an abundant number, since it is smaller than the sum of its proper divisors (26801520984).

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

11464779816 is a wasteful number, since it uses less digits than its factorization.

11464779816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 29273 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 11464779816 in words is "eleven billion, four hundred sixty-four million, seven hundred seventy-nine thousand, eight hundred sixteen".