24152466425142 has 384 divisors, whose sum is σ = 57815643538944. Its totient is φ = 6646026240000.

The previous prime is 24152466425051. The next prime is 24152466425183.

24152466425142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24152466425142² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24152466425091 and 24152466425100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114466665417 + ... + 114466665627.

It is an arithmetic number, because the mean of its divisors is an integer number (150561571716).

Almost surely, 2^{24152466425142} is an apocalyptic number.

24152466425142 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 24152466425142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28907821769472).

24152466425142 is an abundant number, since it is smaller than the sum of its proper divisors (33663177113802).

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

24152466425142 is a wasteful number, since it uses less digits than its factorization.

24152466425142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 555 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

It can be divided in two parts, 241524 and 66425142, that added together give a palindrome (66666666).

The spelling of 24152466425142 in words is "twenty-four trillion, one hundred fifty-two billion, four hundred sixty-six million, four hundred twenty-five thousand, one hundred forty-two".