126368381568 has 576 divisors, whose sum is σ = 415421364960. Its totient is φ = 33553612800.

The previous prime is 126368381563. The next prime is 126368381591. The reversal of 126368381568 is 865183863621.

It is not an unprimeable number, because it can be changed into a prime (126368381563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3082155628 + ... + 3082155668.

Almost surely, 2^126368381568 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 126368381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207710682480).

126368381568 is an abundant number, since it is smaller than the sum of its proper divisors (289052983392).

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

126368381568 is a wasteful number, since it uses less digits than its factorization.

126368381568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 107 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 126368381568 in words is "one hundred twenty-six billion, three hundred sixty-eight million, three hundred eighty-one thousand, five hundred sixty-eight".