24342490330368 has 1152 divisors, whose sum is σ = 82076511928320. Its totient is φ = 6246731612160.

The previous prime is 24342490330259. The next prime is 24342490330369. The reversal of 24342490330368 is 86303309424342.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 24342490330368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24342490330369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78271672933 + ... + 78271673243.

It is an arithmetic number, because the mean of its divisors is an integer number (71246972160).

Almost surely, 2^{24342490330368} is an apocalyptic number.

24342490330368 is a gapful number since it is divisible by the number (28) 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 24342490330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41038255964160).

24342490330368 is an abundant number, since it is smaller than the sum of its proper divisors (57734021597952).

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

24342490330368 is a wasteful number, since it uses less digits than its factorization.

24342490330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 51.

The spelling of 24342490330368 in words is "twenty-four trillion, three hundred forty-two billion, four hundred ninety million, three hundred thirty thousand, three hundred sixty-eight".