2011169814192 has 640 divisors, whose sum is σ = 7495291699200. Its totient is φ = 500992128000.

The previous prime is 2011169814191. The next prime is 2011169814193. The reversal of 2011169814192 is 2914189611102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011169814191) and next prime (2011169814193).

It is a super-2 number, since 2×2011169814192² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011169814191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145656153 + ... + 145669959.

It is an arithmetic number, because the mean of its divisors is an integer number (11711393280).

Almost surely, 2^{2011169814192} is an apocalyptic number.

2011169814192 is a gapful number since it is divisible by the number (22) 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 2011169814192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747645849600).

2011169814192 is an abundant number, since it is smaller than the sum of its proper divisors (5484121885008).

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

2011169814192 is a wasteful number, since it uses less digits than its factorization.

2011169814192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14022 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 2011169814192 in words is "two trillion, eleven billion, one hundred sixty-nine million, eight hundred fourteen thousand, one hundred ninety-two".