11536449792 has 288 divisors, whose sum is σ = 37651461120. Its totient is φ = 3062292480.

The previous prime is 11536449787. The next prime is 11536449809. The reversal of 11536449792 is 29794463511.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412567 + ... + 5414697.

It is an arithmetic number, because the mean of its divisors is an integer number (130734240).

Almost surely, 2^11536449792 is an apocalyptic number.

11536449792 is a gapful number since it is divisible by the number (12) 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 11536449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825730560).

11536449792 is an abundant number, since it is smaller than the sum of its proper divisors (26115011328).

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

11536449792 is a wasteful number, since it uses less digits than its factorization.

11536449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2215 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The spelling of 11536449792 in words is "eleven billion, five hundred thirty-six million, four hundred forty-nine thousand, seven hundred ninety-two".