11488816656 has 80 divisors (see below), whose sum is σ = 33013809600. Its totient is φ = 3825349632.

The previous prime is 11488816643. The next prime is 11488816663. The reversal of 11488816656 is 65661888411.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387015 + ... + 415641.

It is an arithmetic number, because the mean of its divisors is an integer number (412672620).

Almost surely, 2^11488816656 is an apocalyptic number.

11488816656 is a gapful number since it is divisible by the number (16) 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 11488816656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16506904800).

11488816656 is an abundant number, since it is smaller than the sum of its proper divisors (21524992944).

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

11488816656 is a wasteful number, since it uses less digits than its factorization.

11488816656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29573 (or 29561 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 11488816656 in words is "eleven billion, four hundred eighty-eight million, eight hundred sixteen thousand, six hundred fifty-six".