812350141368480 has 1152 divisors, whose sum is σ = 3496930725689856. Its totient is φ = 168681642393600.

The previous prime is 812350141368449. The next prime is 812350141368499. The reversal of 812350141368480 is 84863141053218.

It is a happy number.

812350141368480 is a `hidden beast` number, since 8 + 1 + 2 + 350 + 1 + 4 + 136 + 84 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246911232 + ... + 250179648.

It is an arithmetic number, because the mean of its divisors is an integer number (3035530143828).

Almost surely, 2^{812350141368480} is an apocalyptic number.

812350141368480 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 812350141368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748465362844928).

812350141368480 is an abundant number, since it is smaller than the sum of its proper divisors (2684580584321376).

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

812350141368480 is a wasteful number, since it uses less digits than its factorization.

812350141368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268550 (or 3268539 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 812350141368480 in words is "eight hundred twelve trillion, three hundred fifty billion, one hundred forty-one million, three hundred sixty-eight thousand, four hundred eighty".