11319248556 has 384 divisors, whose sum is σ = 39094272000. Its totient is φ = 2743372800.

The previous prime is 11319248509. The next prime is 11319248623. The reversal of 11319248556 is 65584291311.

It is a happy number.

11319248556 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 92 + 4 + 8 + 556 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11217780 + ... + 11218788.

It is an arithmetic number, because the mean of its divisors is an integer number (101808000).

Almost surely, 2^11319248556 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 11319248556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547136000).

11319248556 is an abundant number, since it is smaller than the sum of its proper divisors (27775023444).

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

11319248556 is a wasteful number, since it uses less digits than its factorization.

11319248556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 11319248556 in words is "eleven billion, three hundred nineteen million, two hundred forty-eight thousand, five hundred fifty-six".