11640155982336 has 480 divisors, whose sum is σ = 41717920358400. Its totient is φ = 3049077841920.

The previous prime is 11640155982319. The next prime is 11640155982337. The reversal of 11640155982336 is 63328955104611.

11640155982336 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 1 + 559 + 82 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×11640155982336² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11640155982337) 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 47 ways as a sum of consecutive naturals, for example, 18692445 + ... + 19305123.

It is an arithmetic number, because the mean of its divisors is an integer number (86912334080).

Almost surely, 2^{11640155982336} is an apocalyptic number.

11640155982336 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 11640155982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858960179200).

11640155982336 is an abundant number, since it is smaller than the sum of its proper divisors (30077764376064).

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

11640155982336 is a wasteful number, since it uses less digits than its factorization.

11640155982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612760 (or 612741 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 11640155982336 in words is "eleven trillion, six hundred forty billion, one hundred fifty-five million, nine hundred eighty-two thousand, three hundred thirty-six".