11849308756992 has 880 divisors, whose sum is σ = 43005755105280. Its totient is φ = 3172404953088.

The previous prime is 11849308756979. The next prime is 11849308757057. The reversal of 11849308756992 is 29965780394811.

11849308756992 is a `hidden beast` number, since 1 + 1 + 8 + 493 + 0 + 8 + 75 + 69 + 9 + 2 = 666.

It is a super-2 number, since 2×11849308756992² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11849308756992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2359007793 + ... + 2359012815.

It is an arithmetic number, because the mean of its divisors is an integer number (48870176256).

It is a 1-persistent number, because it is pandigital, but 2⋅11849308756992 = 23698617513984 is not.

Almost surely, 2^{11849308756992} is an apocalyptic number.

11849308756992 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 11849308756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502877552640).

11849308756992 is an abundant number, since it is smaller than the sum of its proper divisors (31156446348288).

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

11849308756992 is a wasteful number, since it uses less digits than its factorization.

11849308756992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 11849308756992 in words is "eleven trillion, eight hundred forty-nine billion, three hundred eight million, seven hundred fifty-six thousand, nine hundred ninety-two".