814046112000 has 1728 divisors, whose sum is σ = 3431854153728. Its totient is φ = 190356480000.

The previous prime is 814046111981. The next prime is 814046112007. The reversal of 814046112000 is 211640418.

It is a happy number.

814046112000 is a `hidden beast` number, since 8 + 1 + 40 + 4 + 611 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (814046112007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2651615847 + ... + 2651616153.

Almost surely, 2^814046112000 is an apocalyptic number.

814046112000 is a gapful number since it is divisible by the number (80) 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 814046112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715927076864).

814046112000 is an abundant number, since it is smaller than the sum of its proper divisors (2617808041728).

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

814046112000 is a wasteful number, since it uses less digits than its factorization.

814046112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 359 counting only the distinct ones).

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

Adding to 814046112000 its reverse (211640418), we get a palindrome (814257752418).

The spelling of 814046112000 in words is "eight hundred fourteen billion, forty-six million, one hundred twelve thousand".