18345450240 has 648 divisors, whose sum is σ = 71481337200. Its totient is φ = 4502863872.

The previous prime is 18345450217. The next prime is 18345450259. The reversal of 18345450240 is 4205454381.

It is a happy number.

18345450240 is a `hidden beast` number, since 183 + 4 + 5 + 450 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18345450195 and 18345450204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52565586 + ... + 52565934.

Almost surely, 2^18345450240 is an apocalyptic number.

18345450240 is a gapful number since it is divisible by the number (10) 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 18345450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35740668600).

18345450240 is an abundant number, since it is smaller than the sum of its proper divisors (53135886960).

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

18345450240 is an equidigital number, since it uses as much as digits as its factorization.

18345450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 18345450240 in words is "eighteen billion, three hundred forty-five million, four hundred fifty thousand, two hundred forty".