812187648000 has 1120 divisors, whose sum is σ = 3218227669800. Its totient is φ = 203843174400.

The previous prime is 812187647977. The next prime is 812187648043. The reversal of 812187648000 is 846781218.

812187648000 is a `hidden beast` number, since 81 + 21 + 8 + 76 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 353349402624 + 458838245376 = 594432^2 + 677376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47775743992 + ... + 47775744008.

Almost surely, 2^812187648000 is an apocalyptic number.

812187648000 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 812187648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609113834900).

812187648000 is an abundant number, since it is smaller than the sum of its proper divisors (2406040021800).

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

812187648000 is an frugal number, since it uses more digits than its factorization.

812187648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 812187648000 in words is "eight hundred twelve billion, one hundred eighty-seven million, six hundred forty-eight thousand".