240465051648 has 256 divisors, whose sum is σ = 716711731200. Its totient is φ = 79679324160.

The previous prime is 240465051637. The next prime is 240465051661. The reversal of 240465051648 is 846150564042.

It is a happy number.

240465051648 is a `hidden beast` number, since 2 + 4 + 0 + 46 + 50 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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 15 ways as a sum of consecutive naturals, for example, 168983865 + ... + 168985287.

It is an arithmetic number, because the mean of its divisors is an integer number (2799655200).

Almost surely, 2^240465051648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240465051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358355865600).

240465051648 is an abundant number, since it is smaller than the sum of its proper divisors (476246679552).

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

240465051648 is an equidigital number, since it uses as much as digits as its factorization.

240465051648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 240465051648 in words is "two hundred forty billion, four hundred sixty-five million, fifty-one thousand, six hundred forty-eight".