1683561348 has 192 divisors, whose sum is σ = 5319372800. Its totient is φ = 455385888.

The previous prime is 1683561343. The next prime is 1683561379. The reversal of 1683561348 is 8431653861.

1683561348 is a `hidden beast` number, since 1 + 6 + 83 + 561 + 3 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1683561343) 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 63 ways as a sum of consecutive naturals, for example, 1162761 + ... + 1164207.

Almost surely, 2^1683561348 is an apocalyptic number.

1683561348 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 1683561348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659686400).

1683561348 is an abundant number, since it is smaller than the sum of its proper divisors (3635811452).

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

1683561348 is a wasteful number, since it uses less digits than its factorization.

1683561348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1478 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1683561348 is about 41031.2240616826. The cubic root of 1683561348 is about 1189.6238125456.

The spelling of 1683561348 in words is "one billion, six hundred eighty-three million, five hundred sixty-one thousand, three hundred forty-eight".