1819384858368 has 1728 divisors, whose sum is σ = 7182634314240. Its totient is φ = 448693862400.

The previous prime is 1819384858301. The next prime is 1819384858453. The reversal of 1819384858368 is 8638584839181.

1819384858368 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 3 + 8 + 485 + 83 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1819384858368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (318504960) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1819384858296 and 1819384858305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6568176246 + ... + 6568176522.

It is an arithmetic number, because the mean of its divisors is an integer number (4156617080).

Almost surely, 2^{1819384858368} is an apocalyptic number.

1819384858368 is a gapful number since it is divisible by the number (18) 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 1819384858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591317157120).

1819384858368 is an abundant number, since it is smaller than the sum of its proper divisors (5363249455872).

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

1819384858368 is a wasteful number, since it uses less digits than its factorization.

1819384858368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 1819384858368 in words is "one trillion, eight hundred nineteen billion, three hundred eighty-four million, eight hundred fifty-eight thousand, three hundred sixty-eight".