1345355856 has 240 divisors, whose sum is σ = 4246394880. Its totient is φ = 394813440.

The previous prime is 1345355827. The next prime is 1345355861. The reversal of 1345355856 is 6585535431.

1345355856 is a `hidden beast` number, since 1 + 3 + 45 + 3 + 558 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5628985 + ... + 5629223.

It is an arithmetic number, because the mean of its divisors is an integer number (17693312).

Almost surely, 2^1345355856 is an apocalyptic number.

1345355856 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 1345355856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123197440).

1345355856 is an abundant number, since it is smaller than the sum of its proper divisors (2901039024).

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

1345355856 is a wasteful number, since it uses less digits than its factorization.

1345355856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 1345355856 is about 36679.0929004522. The cubic root of 1345355856 is about 1103.9406474078.

The spelling of 1345355856 in words is "one billion, three hundred forty-five million, three hundred fifty-five thousand, eight hundred fifty-six".