1345075588800 has 336 divisors, whose sum is σ = 4906119321600. Its totient is φ = 358480512000.

The previous prime is 1345075588793. The next prime is 1345075588823. The reversal of 1345075588800 is 88855705431.

1345075588800 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 0 + 7 + 558 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84275221 + ... + 84291179.

It is an arithmetic number, because the mean of its divisors is an integer number (14601545600).

Almost surely, 2^{1345075588800} is an apocalyptic number.

1345075588800 is a gapful number since it is divisible by the number (10) 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 1345075588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453059660800).

1345075588800 is an abundant number, since it is smaller than the sum of its proper divisors (3561043732800).

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

1345075588800 is a wasteful number, since it uses less digits than its factorization.

1345075588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17941 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1345075588800 in words is "one trillion, three hundred forty-five billion, seventy-five million, five hundred eighty-eight thousand, eight hundred".