11426966208 has 252 divisors, whose sum is σ = 38824783920. Its totient is φ = 3202827264.

The previous prime is 11426966207. The next prime is 11426966219. The reversal of 11426966208 is 80266962411.

11426966208 is a `hidden beast` number, since 1 + 14 + 2 + 6 + 9 + 6 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11426966207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1492053 + ... + 1499691.

Almost surely, 2^11426966208 is an apocalyptic number.

11426966208 is a gapful number since it is divisible by the number (18) 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 11426966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412391960).

11426966208 is an abundant number, since it is smaller than the sum of its proper divisors (27397817712).

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

11426966208 is a wasteful number, since it uses less digits than its factorization.

11426966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11426966208 in words is "eleven billion, four hundred twenty-six million, nine hundred sixty-six thousand, two hundred eight".