1321683456 has 80 divisors (see below), whose sum is σ = 3528711648. Its totient is φ = 439603200.

The previous prime is 1321683443. The next prime is 1321683487. The reversal of 1321683456 is 6543861231.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245166 + ... + 1246226.

Almost surely, 2^1321683456 is an apocalyptic number.

1321683456 is a gapful number since it is divisible by the number (16) 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 1321683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764355824).

1321683456 is an abundant number, since it is smaller than the sum of its proper divisors (2207028192).

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

1321683456 is an equidigital number, since it uses as much as digits as its factorization.

1321683456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1321683456 is about 36354.9646678414. The cubic root of 1321683456 is about 1097.4274472546.

The spelling of 1321683456 in words is "one billion, three hundred twenty-one million, six hundred eighty-three thousand, four hundred fifty-six".