126284448624 has 80 divisors (see below), whose sum is σ = 331111402752. Its totient is φ = 41469825024.

The previous prime is 126284448557. The next prime is 126284448629. The reversal of 126284448624 is 426844482621.

It is a super-3 number, since 3×126284448624³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126284448629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888019 + ... + 1020365.

Almost surely, 2^126284448624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126284448624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165555701376).

126284448624 is an abundant number, since it is smaller than the sum of its proper divisors (204826954128).

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

126284448624 is a wasteful number, since it uses less digits than its factorization.

126284448624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132654 (or 132648 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 51.

The spelling of 126284448624 in words is "one hundred twenty-six billion, two hundred eighty-four million, four hundred forty-eight thousand, six hundred twenty-four".