1849318393680 has 560 divisors, whose sum is σ = 6518195773056. Its totient is φ = 487704499200.

The previous prime is 1849318393651. The next prime is 1849318393687. The reversal of 1849318393680 is 863938139481.

1849318393680 is a `hidden beast` number, since 1 + 8 + 4 + 93 + 183 + 9 + 368 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1849318393687) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 3284757079 + ... + 3284757641.

Almost surely, 2^{1849318393680} is an apocalyptic number.

1849318393680 is a gapful number since it is divisible by the number (10) 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 1849318393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259097886528).

1849318393680 is an abundant number, since it is smaller than the sum of its proper divisors (4668877379376).

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

1849318393680 is a wasteful number, since it uses less digits than its factorization.

1849318393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1849318393680 in words is "one trillion, eight hundred forty-nine billion, three hundred eighteen million, three hundred ninety-three thousand, six hundred eighty".