126468561618 has 192 divisors, whose sum is σ = 336499308288. Its totient is φ = 33507532800.

The previous prime is 126468561581. The next prime is 126468561623. The reversal of 126468561618 is 816165864621.

It is a happy number.

126468561618 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 6 + 8 + 5 + 616 + 18 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45149818 + ... + 45152618.

It is an arithmetic number, because the mean of its divisors is an integer number (1752600564).

Almost surely, 2^126468561618 is an apocalyptic number.

126468561618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126468561618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168249654144).

126468561618 is an abundant number, since it is smaller than the sum of its proper divisors (210030746670).

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

126468561618 is a wasteful number, since it uses less digits than its factorization.

126468561618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3134 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 126468561618 in words is "one hundred twenty-six billion, four hundred sixty-eight million, five hundred sixty-one thousand, six hundred eighteen".