24048420864 has 384 divisors, whose sum is σ = 74299680000. Its totient is φ = 6851395584.

The previous prime is 24048420833. The next prime is 24048420919. The reversal of 24048420864 is 46802484042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120846237 + ... + 120846435.

It is an arithmetic number, because the mean of its divisors is an integer number (193488750).

Almost surely, 2^24048420864 is an apocalyptic number.

24048420864 is a gapful number since it is divisible by the number (24) 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 24048420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840000).

24048420864 is an abundant number, since it is smaller than the sum of its proper divisors (50251259136).

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

24048420864 is a wasteful number, since it uses less digits than its factorization.

24048420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 24048420864 in words is "twenty-four billion, forty-eight million, four hundred twenty thousand, eight hundred sixty-four".