18430739919648 has 1344 divisors, whose sum is σ = 68841900933120. Its totient is φ = 4733829734400.

The previous prime is 18430739919623. The next prime is 18430739919673. The reversal of 18430739919648 is 84691993703481.

18430739919648 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 0 + 7 + 399 + 196 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (18430739919623) and next prime (18430739919673).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6798501013 + ... + 6798503723.

It is an arithmetic number, because the mean of its divisors is an integer number (51221652480).

Almost surely, 2^{18430739919648} is an apocalyptic number.

18430739919648 is a gapful number since it is divisible by the number (18) 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 18430739919648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420950466560).

18430739919648 is an abundant number, since it is smaller than the sum of its proper divisors (50411161013472).

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

18430739919648 is a wasteful number, since it uses less digits than its factorization.

18430739919648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 18430739919648 in words is "eighteen trillion, four hundred thirty billion, seven hundred thirty-nine million, nine hundred nineteen thousand, six hundred forty-eight".