11427746000 has 320 divisors, whose sum is σ = 31490484480. Its totient is φ = 3974400000.

The previous prime is 11427745969. The next prime is 11427746017. The reversal of 11427746000 is 64772411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82213931 + ... + 82214069.

It is an arithmetic number, because the mean of its divisors is an integer number (98407764).

Almost surely, 2^11427746000 is an apocalyptic number.

11427746000 is a gapful number since it is divisible by the number (10) 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 11427746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745242240).

11427746000 is an abundant number, since it is smaller than the sum of its proper divisors (20062738480).

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

11427746000 is a wasteful number, since it uses less digits than its factorization.

11427746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 11427746000 in words is "eleven billion, four hundred twenty-seven million, seven hundred forty-six thousand".