24048145344 has 112 divisors (see below), whose sum is σ = 65945650176. Its totient is φ = 7726080000.

The previous prime is 24048145333. The next prime is 24048145357. The reversal of 24048145344 is 44354184042.

It is a super-2 number, since 2×24048145344² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485904 + ... + 1502000.

It is an arithmetic number, because the mean of its divisors is an integer number (588800448).

Almost surely, 2^24048145344 is an apocalyptic number.

24048145344 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 24048145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32972825088).

24048145344 is an abundant number, since it is smaller than the sum of its proper divisors (41897504832).

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

24048145344 is a wasteful number, since it uses less digits than its factorization.

24048145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The spelling of 24048145344 in words is "twenty-four billion, forty-eight million, one hundred forty-five thousand, three hundred forty-four".