11483709696 has 216 divisors, whose sum is σ = 34028368920. Its totient is φ = 3723264000.

The previous prime is 11483709667. The next prime is 11483709701. The reversal of 11483709696 is 69690738411.

11483709696 is a `hidden beast` number, since 1 + 1 + 483 + 70 + 9 + 6 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3657830400 + 7825879296 = 60480^2 + 88464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14194540 + ... + 14195348.

It is an arithmetic number, because the mean of its divisors is an integer number (157538745).

Almost surely, 2^11483709696 is an apocalyptic number.

11483709696 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 11483709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014184460).

11483709696 is an abundant number, since it is smaller than the sum of its proper divisors (22544659224).

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

11483709696 is a wasteful number, since it uses less digits than its factorization.

11483709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11483709696 in words is "eleven billion, four hundred eighty-three million, seven hundred nine thousand, six hundred ninety-six".