819550134144 has 256 divisors, whose sum is σ = 2884546944000. Its totient is φ = 223976282112.

The previous prime is 819550134071. The next prime is 819550134173. The reversal of 819550134144 is 441431055918.

819550134144 is a `hidden beast` number, since 8 + 1 + 9 + 550 + 13 + 41 + 44 = 666.

It is a super-2 number, since 2×819550134144² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 819550134144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180039 + ... + 1292870.

It is an arithmetic number, because the mean of its divisors is an integer number (11267761500).

Almost surely, 2^819550134144 is an apocalyptic number.

819550134144 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 819550134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442273472000).

819550134144 is an abundant number, since it is smaller than the sum of its proper divisors (2064996809856).

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

819550134144 is a wasteful number, since it uses less digits than its factorization.

819550134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472962 (or 1472944 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 819550134144 in words is "eight hundred nineteen billion, five hundred fifty million, one hundred thirty-four thousand, one hundred forty-four".