126067268448 has 288 divisors, whose sum is σ = 413040176640. Its totient is φ = 36071930880.

The previous prime is 126067268351. The next prime is 126067268473. The reversal of 126067268448 is 844862760621.

It is a happy number.

126067268448 is a `hidden beast` number, since 1 + 2 + 606 + 7 + 26 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 126067268394 and 126067268403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19077561 + ... + 19084167.

It is an arithmetic number, because the mean of its divisors is an integer number (1434167280).

Almost surely, 2^126067268448 is an apocalyptic number.

126067268448 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 126067268448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206520088320).

126067268448 is an abundant number, since it is smaller than the sum of its proper divisors (286972908192).

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

126067268448 is a wasteful number, since it uses less digits than its factorization.

126067268448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 126067268448 in words is "one hundred twenty-six billion, sixty-seven million, two hundred sixty-eight thousand, four hundred forty-eight".