11681983104 has 384 divisors, whose sum is σ = 36710599680. Its totient is φ = 3262187520.

The previous prime is 11681983069. The next prime is 11681983141. The reversal of 11681983104 is 40138918611.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71668527 + ... + 71668689.

It is an arithmetic number, because the mean of its divisors is an integer number (95600520).

Almost surely, 2^11681983104 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 11681983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355299840).

11681983104 is an abundant number, since it is smaller than the sum of its proper divisors (25028616576).

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

11681983104 is a wasteful number, since it uses less digits than its factorization.

11681983104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 11681983104 in words is "eleven billion, six hundred eighty-one million, nine hundred eighty-three thousand, one hundred four".