18245781414 has 256 divisors, whose sum is σ = 50012160000. Its totient is φ = 4920924960.

The previous prime is 18245781409. The next prime is 18245781493. The reversal of 18245781414 is 41418754281.

18245781414 is a `hidden beast` number, since 1 + 82 + 457 + 81 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18245781414.

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 127 ways as a sum of consecutive naturals, for example, 24689457 + ... + 24690195.

It is an arithmetic number, because the mean of its divisors is an integer number (195360000).

Almost surely, 2^18245781414 is an apocalyptic number.

18245781414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18245781414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25006080000).

18245781414 is an abundant number, since it is smaller than the sum of its proper divisors (31766378586).

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

18245781414 is a wasteful number, since it uses less digits than its factorization.

18245781414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The spelling of 18245781414 in words is "eighteen billion, two hundred forty-five million, seven hundred eighty-one thousand, four hundred fourteen".