2011643178192 has 160 divisors (see below), whose sum is σ = 5982825110400. Its totient is φ = 646744670208.

The previous prime is 2011643178173. The next prime is 2011643178247. The reversal of 2011643178192 is 2918713461102.

2011643178192 is a `hidden beast` number, since 20 + 1 + 1 + 6 + 431 + 7 + 8 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606288 + ... + 2095440.

It is an arithmetic number, because the mean of its divisors is an integer number (37392656940).

Almost surely, 2^{2011643178192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011643178192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991412555200).

2011643178192 is an abundant number, since it is smaller than the sum of its proper divisors (3971181932208).

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

2011643178192 is a wasteful number, since it uses less digits than its factorization.

2011643178192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489282 (or 1489270 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2011643178192 in words is "two trillion, eleven billion, six hundred forty-three million, one hundred seventy-eight thousand, one hundred ninety-two".