11963836738656 has 1152 divisors, whose sum is σ = 41000214528000. Its totient is φ = 3269055283200.

The previous prime is 11963836738627. The next prime is 11963836738657. The reversal of 11963836738656 is 65683763836911.

11963836738656 is a `hidden beast` number, since 1 + 1 + 9 + 63 + 83 + 67 + 386 + 56 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

Its product of digits (705438720) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11963836738657) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 50057894185 + ... + 50057894423.

It is an arithmetic number, because the mean of its divisors is an integer number (35590464000).

Almost surely, 2^{11963836738656} is an apocalyptic number.

11963836738656 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 11963836738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500107264000).

11963836738656 is an abundant number, since it is smaller than the sum of its proper divisors (29036377789344).

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

11963836738656 is a wasteful number, since it uses less digits than its factorization.

11963836738656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 11963836738656 in words is "eleven trillion, nine hundred sixty-three billion, eight hundred thirty-six million, seven hundred thirty-eight thousand, six hundred fifty-six".