11933964986832 has 960 divisors, whose sum is σ = 41601081360384. Its totient is φ = 3240897454080.

The previous prime is 11933964986819. The next prime is 11933964986833. The reversal of 11933964986832 is 23868946933911.

11933964986832 is a `hidden beast` number, since 1 + 1 + 93 + 396 + 4 + 98 + 68 + 3 + 2 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933964986833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16415357253 + ... + 16415357979.

Almost surely, 2^{11933964986832} is an apocalyptic number.

11933964986832 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 11933964986832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20800540680192).

11933964986832 is an abundant number, since it is smaller than the sum of its proper divisors (29667116373552).

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

11933964986832 is a wasteful number, since it uses less digits than its factorization.

11933964986832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 11933964986832 in words is "eleven trillion, nine hundred thirty-three billion, nine hundred sixty-four million, nine hundred eighty-six thousand, eight hundred thirty-two".