812622742848 has 448 divisors, whose sum is σ = 2771290368000. Its totient is φ = 228704145408.

The previous prime is 812622742733. The next prime is 812622742873. The reversal of 812622742848 is 848247226218.

It is a happy number.

812622742848 is a `hidden beast` number, since 8 + 1 + 2 + 622 + 7 + 4 + 2 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×812622742848² (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 a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 812622742794 and 812622742803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410621923 + ... + 410623901.

It is an arithmetic number, because the mean of its divisors is an integer number (6185916000).

Almost surely, 2^812622742848 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 812622742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385645184000).

812622742848 is an abundant number, since it is smaller than the sum of its proper divisors (1958667625152).

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

812622742848 is a wasteful number, since it uses less digits than its factorization.

812622742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2483 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 812622742848 in words is "eight hundred twelve billion, six hundred twenty-two million, seven hundred forty-two thousand, eight hundred forty-eight".