18449245584 has 525 divisors, whose sum is σ = 68475183931. Its totient is φ = 4792011840.

The previous prime is 18449245541. The next prime is 18449245601. The reversal of 18449245584 is 48554294481.

The square root of 18449245584 is 135828.

It is a perfect power (a square), and thus also a powerful number.

18449245584 is a `hidden beast` number, since 1 + 84 + 4 + 9 + 2 + 4 + 558 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18449245584.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1677204139 + ... + 1677204149.

Almost surely, 2^18449245584 is an apocalyptic number.

18449245584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18449245584 is the 135828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18449245584

18449245584 is an abundant number, since it is smaller than the sum of its proper divisors (50025938347).

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

18449245584 is an frugal number, since it uses more digits than its factorization.

18449245584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 18449245584 in words is "eighteen billion, four hundred forty-nine million, two hundred forty-five thousand, five hundred eighty-four".