11433004776 has 144 divisors (see below), whose sum is σ = 32822206560. Its totient is φ = 3593197440.

The previous prime is 11433004769. The next prime is 11433004799. The reversal of 11433004776 is 67740033411.

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 11433004776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2601541 + ... + 2605931.

It is an arithmetic number, because the mean of its divisors is an integer number (227931990).

Almost surely, 2^11433004776 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 11433004776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411103280).

11433004776 is an abundant number, since it is smaller than the sum of its proper divisors (21389201784).

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

11433004776 is a wasteful number, since it uses less digits than its factorization.

11433004776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11433004776 in words is "eleven billion, four hundred thirty-three million, four thousand, seven hundred seventy-six".