812965450752 has 1056 divisors, whose sum is σ = 2999506764800. Its totient is φ = 210691031040.

The previous prime is 812965450741. The next prime is 812965450799. The reversal of 812965450752 is 257054569218.

812965450752 is a `hidden beast` number, since 8 + 1 + 2 + 96 + 545 + 0 + 7 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2999872377 + ... + 2999872647.

Almost surely, 2^812965450752 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 812965450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499753382400).

812965450752 is an abundant number, since it is smaller than the sum of its proper divisors (2186541314048).

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

812965450752 is a wasteful number, since it uses less digits than its factorization.

812965450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 812965450752 in words is "eight hundred twelve billion, nine hundred sixty-five million, four hundred fifty thousand, seven hundred fifty-two".