819862018719744 has 912 divisors, whose sum is σ = 2987883158895936. Its totient is φ = 196568992972800.

The previous prime is 819862018719721. The next prime is 819862018719749. The reversal of 819862018719744 is 447917810268918.

It is a super-2 number, since 2×819862018719744² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (819862018719749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510454634 + ... + 5510603414.

It is an arithmetic number, because the mean of its divisors is an integer number (3276187674228).

Almost surely, 2^{819862018719744} is an apocalyptic number.

819862018719744 is a gapful number since it is divisible by the number (84) 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 819862018719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493941579447968).

819862018719744 is an abundant number, since it is smaller than the sum of its proper divisors (2168021140176192).

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

819862018719744 is a wasteful number, since it uses less digits than its factorization.

819862018719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148858 (or 148817 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 75.

The spelling of 819862018719744 in words is "eight hundred nineteen trillion, eight hundred sixty-two billion, eighteen million, seven hundred nineteen thousand, seven hundred forty-four".