126343300608 has 320 divisors, whose sum is σ = 429938910720. Its totient is φ = 35884670976.

The previous prime is 126343300537. The next prime is 126343300627. The reversal of 126343300608 is 806003343621.

126343300608 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 43 + 3 + 0 + 0 + 608 = 666.

It is a super-3 number, since 3×126343300608³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16737091 + ... + 16744637.

It is an arithmetic number, because the mean of its divisors is an integer number (1343559096).

Almost surely, 2^126343300608 is an apocalyptic number.

126343300608 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 126343300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214969455360).

126343300608 is an abundant number, since it is smaller than the sum of its proper divisors (303595610112).

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

126343300608 is an equidigital number, since it uses as much as digits as its factorization.

126343300608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7754 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 126343300608 in words is "one hundred twenty-six billion, three hundred forty-three million, three hundred thousand, six hundred eight".