1345683456 has 288 divisors, whose sum is σ = 4365417420. Its totient is φ = 414056448.

The previous prime is 1345683431. The next prime is 1345683457. The reversal of 1345683456 is 6543865431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1345683456 is a `hidden beast` number, since 1 + 3 + 4 + 568 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (1036800) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345683457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103514106 + ... + 103514118.

Almost surely, 2^1345683456 is an apocalyptic number.

1345683456 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 1345683456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182708710).

1345683456 is an abundant number, since it is smaller than the sum of its proper divisors (3019733964).

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

1345683456 is an frugal number, since it uses more digits than its factorization.

1345683456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1345683456 is about 36683.5583879209. The cubic root of 1345683456 is about 1104.0302449181.

The spelling of 1345683456 in words is "one billion, three hundred forty-five million, six hundred eighty-three thousand, four hundred fifty-six".