812363862528 has 800 divisors, whose sum is σ = 2651182313472. Its totient is φ = 246891110400.

The previous prime is 812363862511. The next prime is 812363862533. The reversal of 812363862528 is 825268363218.

It is a happy number.

812363862528 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 6 + 3 + 8 + 625 + 2 + 8 = 666.

It is a super-2 number, since 2×812363862528² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2454271323 + ... + 2454271653.

Almost surely, 2^812363862528 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 812363862528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325591156736).

812363862528 is an abundant number, since it is smaller than the sum of its proper divisors (1838818450944).

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

812363862528 is a wasteful number, since it uses less digits than its factorization.

812363862528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 812363862528 in words is "eight hundred twelve billion, three hundred sixty-three million, eight hundred sixty-two thousand, five hundred twenty-eight".