1353882168 has 128 divisors (see below), whose sum is σ = 3910248000. Its totient is φ = 434036736.

The previous prime is 1353882137. The next prime is 1353882169. The reversal of 1353882168 is 8612883531.

1353882168 is a `hidden beast` number, since 1 + 353 + 88 + 216 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353882169) 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 31 ways as a sum of consecutive naturals, for example, 5267896 + ... + 5268152.

Almost surely, 2^1353882168 is an apocalyptic number.

1353882168 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 1353882168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955124000).

1353882168 is an abundant number, since it is smaller than the sum of its proper divisors (2556365832).

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

1353882168 is an equidigital number, since it uses as much as digits as its factorization.

1353882168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 291 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1353882168 is about 36795.1378309689. The cubic root of 1353882168 is about 1106.2678452738.

The spelling of 1353882168 in words is "one billion, three hundred fifty-three million, eight hundred eighty-two thousand, one hundred sixty-eight".