1805242402656 has 576 divisors, whose sum is σ = 6973454799360. Its totient is φ = 441307422720.

The previous prime is 1805242402603. The next prime is 1805242402657. The reversal of 1805242402656 is 6562042425081.

1805242402656 is a `hidden beast` number, since 1 + 80 + 524 + 2 + 40 + 2 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1805242402657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19179646 + ... + 19273538.

It is an arithmetic number, because the mean of its divisors is an integer number (12106692360).

Almost surely, 2^{1805242402656} is an apocalyptic number.

1805242402656 is a gapful number since it is divisible by the number (16) 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 1805242402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486727399680).

1805242402656 is an abundant number, since it is smaller than the sum of its proper divisors (5168212396704).

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

1805242402656 is a wasteful number, since it uses less digits than its factorization.

1805242402656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93964 (or 93933 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1805242402656 in words is "one trillion, eight hundred five billion, two hundred forty-two million, four hundred two thousand, six hundred fifty-six".