11656349712 has 300 divisors, whose sum is σ = 39508967916. Its totient is φ = 3308014080.

The previous prime is 11656349707. The next prime is 11656349713. The reversal of 11656349712 is 21794365611.

11656349712 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 634 + 9 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9315338256 + 2341011456 = 96516^2 + 48384^2 .

It is not an unprimeable number, because it can be changed into a prime (11656349713) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10985662 + ... + 10986722.

Almost surely, 2^11656349712 is an apocalyptic number.

11656349712 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 11656349712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754483958).

11656349712 is an abundant number, since it is smaller than the sum of its proper divisors (27852618204).

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

11656349712 is a wasteful number, since it uses less digits than its factorization.

11656349712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11656349712 in words is "eleven billion, six hundred fifty-six million, three hundred forty-nine thousand, seven hundred twelve".