11382693966 has 192 divisors, whose sum is σ = 30075881472. Its totient is φ = 3159171072.

The previous prime is 11382693941. The next prime is 11382694007. The reversal of 11382693966 is 66939628311.

11382693966 is a `hidden beast` number, since 113 + 82 + 69 + 396 + 6 = 666.

It is a super-2 number, since 2×11382693966² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41092620 + ... + 41092896.

It is an arithmetic number, because the mean of its divisors is an integer number (156645216).

Almost surely, 2^11382693966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11382693966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037940736).

11382693966 is an abundant number, since it is smaller than the sum of its proper divisors (18693187506).

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

11382693966 is a wasteful number, since it uses less digits than its factorization.

11382693966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 11382693966 in words is "eleven billion, three hundred eighty-two million, six hundred ninety-three thousand, nine hundred sixty-six".