11951366112 has 432 divisors, whose sum is σ = 41975230752. Its totient is φ = 3158507520.

The previous prime is 11951366083. The next prime is 11951366159. The reversal of 11951366112 is 21166315911.

11951366112 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 1 + 36 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42531412 + ... + 42531692.

It is an arithmetic number, because the mean of its divisors is an integer number (97164886).

Almost surely, 2^11951366112 is an apocalyptic number.

11951366112 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 11951366112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20987615376).

11951366112 is an abundant number, since it is smaller than the sum of its proper divisors (30023864640).

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

11951366112 is a wasteful number, since it uses less digits than its factorization.

11951366112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 383 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The spelling of 11951366112 in words is "eleven billion, nine hundred fifty-one million, three hundred sixty-six thousand, one hundred twelve".