126666914500224 has 960 divisors, whose sum is σ = 440841123518400. Its totient is φ = 35365762252800.

The previous prime is 126666914500171. The next prime is 126666914500237. The reversal of 126666914500224 is 422005419666621.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45222031624 + ... + 45222034424.

It is an arithmetic number, because the mean of its divisors is an integer number (459209503665).

Almost surely, 2^{126666914500224} is an apocalyptic number.

126666914500224 is a gapful number since it is divisible by the number (14) 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 126666914500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220420561759200).

126666914500224 is an abundant number, since it is smaller than the sum of its proper divisors (314174209018176).

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

126666914500224 is an equidigital number, since it uses as much as digits as its factorization.

126666914500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 126666914500224 in words is "one hundred twenty-six trillion, six hundred sixty-six billion, nine hundred fourteen million, five hundred thousand, two hundred twenty-four".