812896933464 has 768 divisors, whose sum is σ = 2974736793600. Its totient is φ = 203238201600.

The previous prime is 812896933447. The next prime is 812896933469. The reversal of 812896933464 is 464339698218.

812896933464 is a `hidden beast` number, since 8 + 1 + 2 + 89 + 6 + 93 + 3 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812896933469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355441329 + ... + 355443615.

It is an arithmetic number, because the mean of its divisors is an integer number (3873355200).

Almost surely, 2^812896933464 is an apocalyptic number.

812896933464 is a gapful number since it is divisible by the number (84) 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 812896933464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487368396800).

812896933464 is an abundant number, since it is smaller than the sum of its proper divisors (2161839860136).

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

812896933464 is a wasteful number, since it uses less digits than its factorization.

812896933464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2424 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 812896933464 in words is "eight hundred twelve billion, eight hundred ninety-six million, nine hundred thirty-three thousand, four hundred sixty-four".