1842295283712 has 896 divisors, whose sum is σ = 6222499315200. Its totient is φ = 534408855552.

The previous prime is 1842295283707. The next prime is 1842295283809. The reversal of 1842295283712 is 2173825922481.

It is a happy number.

1842295283712 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 295 + 283 + 71 + 2 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5885927268 + ... + 5885927580.

It is an arithmetic number, because the mean of its divisors is an integer number (6944753700).

Almost surely, 2^{1842295283712} is an apocalyptic number.

1842295283712 is a gapful number since it is divisible by the number (12) 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 1842295283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111249657600).

1842295283712 is an abundant number, since it is smaller than the sum of its proper divisors (4380204031488).

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

1842295283712 is a wasteful number, since it uses less digits than its factorization.

1842295283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1842295283712 in words is "one trillion, eight hundred forty-two billion, two hundred ninety-five million, two hundred eighty-three thousand, seven hundred twelve".