2011814171904 has 576 divisors, whose sum is σ = 6082159104000. Its totient is φ = 586579968000.

The previous prime is 2011814171867. The next prime is 2011814172001. The reversal of 2011814171904 is 4091714181102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4918860852 + ... + 4918861260.

It is an arithmetic number, because the mean of its divisors is an integer number (10559304000).

Almost surely, 2^{2011814171904} is an apocalyptic number.

2011814171904 is a gapful number since it is divisible by the number (24) 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 2011814171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041079552000).

2011814171904 is an abundant number, since it is smaller than the sum of its proper divisors (4070344932096).

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

2011814171904 is a wasteful number, since it uses less digits than its factorization.

2011814171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 2011814171904 in words is "two trillion, eleven billion, eight hundred fourteen million, one hundred seventy-one thousand, nine hundred four".