1814342112000 has 1152 divisors, whose sum is σ = 7338973824000. Its totient is φ = 437778432000.

The previous prime is 1814342111969. The next prime is 1814342112017. The reversal of 1814342112000 is 2112434181.

1814342112000 is a `hidden beast` number, since 1 + 8 + 1 + 434 + 21 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3316895727 + ... + 3316896273.

It is an arithmetic number, because the mean of its divisors is an integer number (6370637000).

Almost surely, 2^{1814342112000} is an apocalyptic number.

1814342112000 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 1814342112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669486912000).

1814342112000 is an abundant number, since it is smaller than the sum of its proper divisors (5524631712000).

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

1814342112000 is a wasteful number, since it uses less digits than its factorization.

1814342112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1814342112000 its reverse (2112434181), we get a palindrome (1816454546181).

The spelling of 1814342112000 in words is "one trillion, eight hundred fourteen billion, three hundred forty-two million, one hundred twelve thousand".