812846411523840 has 576 divisors, whose sum is σ = 2849278346772480. Its totient is φ = 196601417564160.

The previous prime is 812846411523791. The next prime is 812846411523841. The reversal of 812846411523840 is 48325114648218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812846411523841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482819212 + ... + 484499828.

It is an arithmetic number, because the mean of its divisors is an integer number (4946663796480).

Almost surely, 2^{812846411523840} is an apocalyptic number.

812846411523840 is a gapful number since it is divisible by the number (80) 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 812846411523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424639173386240).

812846411523840 is an abundant number, since it is smaller than the sum of its proper divisors (2036431935248640).

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

812846411523840 is a wasteful number, since it uses less digits than its factorization.

812846411523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680928 (or 1680914 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 812846411523840 in words is "eight hundred twelve trillion, eight hundred forty-six billion, four hundred eleven million, five hundred twenty-three thousand, eight hundred forty".