812934144000 has 1512 divisors, whose sum is σ = 3345098437044. Its totient is φ = 197074944000.

The previous prime is 812934143929. The next prime is 812934144007. The reversal of 812934144000 is 441439218.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 549543481344 + 263390662656 = 741312^2 + 513216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (812934144007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73903103995 + ... + 73903104005.

Almost surely, 2^812934144000 is an apocalyptic number.

812934144000 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 812934144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672549218522).

812934144000 is an abundant number, since it is smaller than the sum of its proper divisors (2532164293044).

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

812934144000 is an frugal number, since it uses more digits than its factorization.

812934144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 812934144000 in words is "eight hundred twelve billion, nine hundred thirty-four million, one hundred forty-four thousand".