1082800347345 has 12 divisors (see below), whose sum is σ = 1876853935476. Its totient is φ = 577493518560.

The previous prime is 1082800347313. The next prime is 1082800347371. The reversal of 1082800347345 is 5437430082801.

It can be written as a sum of positive squares in 2 ways, for example, as 385506875664 + 697293471681 = 620892^2 + 835041^2 .

It is not a de Polignac number, because 1082800347345 - 2⁵ = 1082800347313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 24062229941 = 1082800347345 / (1 + 0 + 8 + 2 + 8 + 0 + 0 + 3 + 4 + 7 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1082800347345.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12031114926 + ... + 12031115015.

It is an arithmetic number, because the mean of its divisors is an integer number (156404494623).

Almost surely, 2^{1082800347345} is an apocalyptic number.

1082800347345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1082800347345 is a deficient number, since it is larger than the sum of its proper divisors (794053588131).

1082800347345 is a wasteful number, since it uses less digits than its factorization.

1082800347345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24062229952 (or 24062229949 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1082800347345 in words is "one trillion, eighty-two billion, eight hundred million, three hundred forty-seven thousand, three hundred forty-five".