1842618456 has 384 divisors, whose sum is σ = 6273146880. Its totient is φ = 495766656.

The previous prime is 1842618419. The next prime is 1842618469. The reversal of 1842618456 is 6548162481.

It is a happy number.

1842618456 is a `hidden beast` number, since 184 + 2 + 6 + 18 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27501735 + ... + 27501801.

It is an arithmetic number, because the mean of its divisors is an integer number (16336320).

Almost surely, 2^1842618456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842618456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136573440).

1842618456 is an abundant number, since it is smaller than the sum of its proper divisors (4430528424).

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

1842618456 is a wasteful number, since it uses less digits than its factorization.

1842618456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1842618456 is about 42925.7318633008. The cubic root of 1842618456 is about 1225.9661307392.

The spelling of 1842618456 in words is "one billion, eight hundred forty-two million, six hundred eighteen thousand, four hundred fifty-six".