126414618624 has 540 divisors, whose sum is σ = 441152066124. Its totient is φ = 36118462464.

The previous prime is 126414618623. The next prime is 126414618643. The reversal of 126414618624 is 426816414621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

126414618624 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 4 + 6 + 18 + 624 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (442368) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 126414618624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126414618623) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18059231229 + ... + 18059231235.

Almost surely, 2^126414618624 is an apocalyptic number.

126414618624 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 126414618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220576033062).

126414618624 is an abundant number, since it is smaller than the sum of its proper divisors (314737447500).

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

126414618624 is an frugal number, since it uses more digits than its factorization.

126414618624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 12 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 126414618624 in words is "one hundred twenty-six billion, four hundred fourteen million, six hundred eighteen thousand, six hundred twenty-four".