2011117165704 has 192 divisors, whose sum is σ = 5896284488640. Its totient is φ = 641560124160.

The previous prime is 2011117165703. The next prime is 2011117165709. The reversal of 2011117165704 is 4075617111102.

2011117165704 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 11 + 71 + 6 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2011117165703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4158427 + ... + 4616789.

It is an arithmetic number, because the mean of its divisors is an integer number (30709815045).

Almost surely, 2^{2011117165704} is an apocalyptic number.

2011117165704 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 2011117165704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948142244320).

2011117165704 is an abundant number, since it is smaller than the sum of its proper divisors (3885167322936).

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

2011117165704 is a wasteful number, since it uses less digits than its factorization.

2011117165704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458482 (or 458466 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 2011117165704 in words is "two trillion, eleven billion, one hundred seventeen million, one hundred sixty-five thousand, seven hundred four".