126718372368 has 360 divisors, whose sum is σ = 442983790080. Its totient is φ = 33593333760.

The previous prime is 126718372343. The next prime is 126718372379. The reversal of 126718372368 is 863273817621.

It is a happy number.

126718372368 is a `hidden beast` number, since 1 + 267 + 1 + 8 + 372 + 3 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8509153 + ... + 8524031.

It is an arithmetic number, because the mean of its divisors is an integer number (1230510528).

Almost surely, 2^126718372368 is an apocalyptic number.

126718372368 is a gapful number since it is divisible by the number (18) 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 126718372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221491895040).

126718372368 is an abundant number, since it is smaller than the sum of its proper divisors (316265417712).

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

126718372368 is a wasteful number, since it uses less digits than its factorization.

126718372368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14995 (or 14979 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 126718372368 in words is "one hundred twenty-six billion, seven hundred eighteen million, three hundred seventy-two thousand, three hundred sixty-eight".