2011405991688 has 96 divisors (see below), whose sum is σ = 5645690668800. Its totient is φ = 646255440000.

The previous prime is 2011405991677. The next prime is 2011405991689. The reversal of 2011405991688 is 8861995041102.

2011405991688 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 40 + 599 + 1 + 6 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2011405991689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234923 + ... + 2355386.

It is an arithmetic number, because the mean of its divisors is an integer number (58809277800).

Almost surely, 2^{2011405991688} is an apocalyptic number.

It is an amenable number.

2011405991688 is an abundant number, since it is smaller than the sum of its proper divisors (3634284677112).

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

2011405991688 is a wasteful number, since it uses less digits than its factorization.

2011405991688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590603 (or 3590596 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 2011405991688 in words is "two trillion, eleven billion, four hundred five million, nine hundred ninety-one thousand, six hundred eighty-eight".