1141565363800 has 48 divisors (see below), whose sum is σ = 2654819924400. Its totient is φ = 456509078400.

The previous prime is 1141565363791. The next prime is 1141565363833. The reversal of 1141565363800 is 83635651411.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 52486 + ... + 1511914.

It is an arithmetic number, because the mean of its divisors is an integer number (55308748425).

Almost surely, 2^{1141565363800} is an apocalyptic number.

1141565363800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141565363800 is an abundant number, since it is smaller than the sum of its proper divisors (1513254560600).

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

1141565363800 is a wasteful number, since it uses less digits than its factorization.

1141565363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463356 (or 1463347 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 1141565363800 in words is "one trillion, one hundred forty-one billion, five hundred sixty-five million, three hundred sixty-three thousand, eight hundred".