2194323116832 has 1728 divisors, whose sum is σ = 8464642228224. Its totient is φ = 526901760000.

The previous prime is 2194323116831. The next prime is 2194323116957. The reversal of 2194323116832 is 2386113234912.

It is a happy number.

2194323116832 is a `hidden beast` number, since 21 + 9 + 432 + 3 + 1 + 168 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2194323116831) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30905959357 + ... + 30905959427.

It is an arithmetic number, because the mean of its divisors is an integer number (4898519808).

Almost surely, 2^{2194323116832} is an apocalyptic number.

2194323116832 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 2194323116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232321114112).

2194323116832 is an abundant number, since it is smaller than the sum of its proper divisors (6270319111392).

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

2194323116832 is a wasteful number, since it uses less digits than its factorization.

2194323116832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 2194323116832 in words is "two trillion, one hundred ninety-four billion, three hundred twenty-three million, one hundred sixteen thousand, eight hundred thirty-two".