1992114432000 has 3072 divisors, whose sum is σ = 9714152448000. Its totient is φ = 390168576000.

The previous prime is 1992114431999. The next prime is 1992114432029. The reversal of 1992114432000 is 2344112991.

1992114432000 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 1 + 1 + 443 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10112255902 + ... + 10112256098.

It is an arithmetic number, because the mean of its divisors is an integer number (3162159000).

Almost surely, 2^{1992114432000} is an apocalyptic number.

1992114432000 is a gapful number since it is divisible by the number (10) 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 1992114432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857076224000).

1992114432000 is an abundant number, since it is smaller than the sum of its proper divisors (7722038016000).

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

1992114432000 is a wasteful number, since it uses less digits than its factorization.

1992114432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 1992114432000 its reverse (2344112991), we get a palindrome (1994458544991).

The spelling of 1992114432000 in words is "one trillion, nine hundred ninety-two billion, one hundred fourteen million, four hundred thirty-two thousand".