812464406208 has 560 divisors, whose sum is σ = 2987037951744. Its totient is φ = 212624455680.

The previous prime is 812464406197. The next prime is 812464406209. The reversal of 812464406208 is 802604464218.

812464406208 is a `hidden beast` number, since 8 + 12 + 4 + 6 + 4 + 4 + 0 + 620 + 8 = 666.

It is a super-2 number, since 2×812464406208² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (812464406209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61791891 + ... + 61805037.

Almost surely, 2^812464406208 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 812464406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493518975872).

812464406208 is an abundant number, since it is smaller than the sum of its proper divisors (2174573545536).

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

812464406208 is a wasteful number, since it uses less digits than its factorization.

812464406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 812464406208 in words is "eight hundred twelve billion, four hundred sixty-four million, four hundred six thousand, two hundred eight".