11861996736744 has 1152 divisors, whose sum is σ = 43691806166400. Its totient is φ = 2948211302400.

The previous prime is 11861996736721. The next prime is 11861996736773. The reversal of 11861996736744 is 44763769916811.

11861996736744 is a `hidden beast` number, since 1 + 1 + 86 + 1 + 99 + 67 + 367 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10852695462 + ... + 10852696554.

It is an arithmetic number, because the mean of its divisors is an integer number (37926915075).

Almost surely, 2^{11861996736744} is an apocalyptic number.

11861996736744 is a gapful number since it is divisible by the number (14) 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 11861996736744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21845903083200).

11861996736744 is an abundant number, since it is smaller than the sum of its proper divisors (31829809429656).

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

11861996736744 is a wasteful number, since it uses less digits than its factorization.

11861996736744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1244 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 11861996736744 in words is "eleven trillion, eight hundred sixty-one billion, nine hundred ninety-six million, seven hundred thirty-six thousand, seven hundred forty-four".