24274355347242 has 768 divisors, whose sum is σ = 74955718656000. Its totient is φ = 5663543846400.

The previous prime is 24274355347237. The next prime is 24274355347261.

24274355347242 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 4 + 3 + 55 + 347 + 242 = 666.

24274355347242 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5058208759 + ... + 5058213557.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592000).

Almost surely, 2^{24274355347242} is an apocalyptic number.

24274355347242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24274355347242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37477859328000).

24274355347242 is an abundant number, since it is smaller than the sum of its proper divisors (50681363308758).

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

24274355347242 is a wasteful number, since it uses less digits than its factorization.

24274355347242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5063 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 24274355347242 in words is "twenty-four trillion, two hundred seventy-four billion, three hundred fifty-five million, three hundred forty-seven thousand, two hundred forty-two".