11488146656 has 192 divisors, whose sum is σ = 27411664896. Its totient is φ = 4636569600.

The previous prime is 11488146629. The next prime is 11488146667. The reversal of 11488146656 is 65664188411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66405386 + ... + 66405558.

It is an arithmetic number, because the mean of its divisors is an integer number (142769088).

Almost surely, 2^11488146656 is an apocalyptic number.

11488146656 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 11488146656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705832448).

11488146656 is an abundant number, since it is smaller than the sum of its proper divisors (15923518240).

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

11488146656 is a wasteful number, since it uses less digits than its factorization.

11488146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 50.

The spelling of 11488146656 in words is "eleven billion, four hundred eighty-eight million, one hundred forty-six thousand, six hundred fifty-six".