18274074336 has 288 divisors, whose sum is σ = 62156360448. Its totient is φ = 5173217280.

The previous prime is 18274074331. The next prime is 18274074361. The reversal of 18274074336 is 63347047281.

18274074336 is a `hidden beast` number, since 182 + 74 + 0 + 74 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 18274074291 and 18274074300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18274074331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6149331 + ... + 6152301.

It is an arithmetic number, because the mean of its divisors is an integer number (215820696).

Almost surely, 2^18274074336 is an apocalyptic number.

18274074336 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 18274074336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31078180224).

18274074336 is an abundant number, since it is smaller than the sum of its proper divisors (43882286112).

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

18274074336 is a wasteful number, since it uses less digits than its factorization.

18274074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 18274074336 in words is "eighteen billion, two hundred seventy-four million, seventy-four thousand, three hundred thirty-six".