812681405472 has 192 divisors, whose sum is σ = 2210147130240. Its totient is φ = 261321375744.

The previous prime is 812681405441. The next prime is 812681405491. The reversal of 812681405472 is 274504186218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208967304 + ... + 208971192.

It is an arithmetic number, because the mean of its divisors is an integer number (11511182970).

Almost surely, 2^812681405472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812681405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105073565120).

812681405472 is an abundant number, since it is smaller than the sum of its proper divisors (1397465724768).

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

812681405472 is a wasteful number, since it uses less digits than its factorization.

812681405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 812681405472 in words is "eight hundred twelve billion, six hundred eighty-one million, four hundred five thousand, four hundred seventy-two".