11881187049312 has 432 divisors, whose sum is σ = 39780364976352. Its totient is φ = 3353625354240.

The previous prime is 11881187049301. The next prime is 11881187049317. The reversal of 11881187049312 is 21394078118811.

It is a happy number.

11881187049312 is a `hidden beast` number, since 1 + 1 + 8 + 81 + 1 + 8 + 70 + 493 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881187049317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 495926038 + ... + 495949994.

It is an arithmetic number, because the mean of its divisors is an integer number (92084178186).

Almost surely, 2^{11881187049312} is an apocalyptic number.

11881187049312 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 11881187049312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890182488176).

11881187049312 is an abundant number, since it is smaller than the sum of its proper divisors (27899177927040).

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

11881187049312 is a wasteful number, since it uses less digits than its factorization.

11881187049312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24411 (or 24393 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 11881187049312 in words is "eleven trillion, eight hundred eighty-one billion, one hundred eighty-seven million, forty-nine thousand, three hundred twelve".