2011113468 has 576 divisors, whose sum is σ = 7207280640. Its totient is φ = 479001600.

The previous prime is 2011113451. The next prime is 2011113479. The reversal of 2011113468 is 8643111102.

It is a happy number.

2011113468 is a `hidden beast` number, since 201 + 111 + 346 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49051528 + ... + 49051568.

It is an arithmetic number, because the mean of its divisors is an integer number (12512640).

Almost surely, 2^2011113468 is an apocalyptic number.

2011113468 is a gapful number since it is divisible by the number (28) 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 2011113468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603640320).

2011113468 is an abundant number, since it is smaller than the sum of its proper divisors (5196167172).

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

2011113468 is a wasteful number, since it uses less digits than its factorization.

2011113468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2011113468 is about 44845.4397681637. The cubic root of 2011113468 is about 1262.2504226846.

The spelling of 2011113468 in words is "two billion, eleven million, one hundred thirteen thousand, four hundred sixty-eight".