126063551432448 has 288 divisors, whose sum is σ = 440739432806400. Its totient is φ = 34776151732224.

The previous prime is 126063551432279. The next prime is 126063551432461. The reversal of 126063551432448 is 844234155360621.

It is a happy number.

126063551432448 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 3 + 55 + 143 + 2 + 448 = 666.

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

It is a super-2 number, since 2×126063551432448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126063551432394 and 126063551432403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43518936 + ... + 46325207.

It is an arithmetic number, because the mean of its divisors is an integer number (1530345252800).

Almost surely, 2^{126063551432448} is an apocalyptic number.

126063551432448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126063551432448 is an abundant number, since it is smaller than the sum of its proper divisors (314675881373952).

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

126063551432448 is an equidigital number, since it uses as much as digits as its factorization.

126063551432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89844204 (or 89844184 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 126063551432448 in words is "one hundred twenty-six trillion, sixty-three billion, five hundred fifty-one million, four hundred thirty-two thousand, four hundred forty-eight".