11482000776 has 168 divisors, whose sum is σ = 32770030890. Its totient is φ = 3769804800.

The previous prime is 11482000771. The next prime is 11482000801. The reversal of 11482000776 is 67700028411.

It can be written as a sum of positive squares in 3 ways, for example, as 11443436676 + 38564100 = 106974^2 + 6210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11482000776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11482000771) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 59492136 + ... + 59492328.

Almost surely, 2^11482000776 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 11482000776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385015445).

11482000776 is an abundant number, since it is smaller than the sum of its proper divisors (21288030114).

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

11482000776 is an equidigital number, since it uses as much as digits as its factorization.

11482000776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11482000776 in words is "eleven billion, four hundred eighty-two million, seven hundred seventy-six", and thus it is an aban number.