126064697472 has 288 divisors, whose sum is σ = 427785805980. Its totient is φ = 35523919872.

The previous prime is 126064697459. The next prime is 126064697503. The reversal of 126064697472 is 274796460621.

126064697472 is a `hidden beast` number, since 1 + 26 + 0 + 64 + 6 + 97 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124112471616 + 1952225856 = 352296^2 + 44184^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4105408 + ... + 4136000.

Almost surely, 2^126064697472 is an apocalyptic number.

126064697472 is a gapful number since it is divisible by the number (12) 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 126064697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213892902990).

126064697472 is an abundant number, since it is smaller than the sum of its proper divisors (301721108508).

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

126064697472 is a wasteful number, since it uses less digits than its factorization.

126064697472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30700 (or 30678 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 126064697472 in words is "one hundred twenty-six billion, sixty-four million, six hundred ninety-seven thousand, four hundred seventy-two".