126706721062464 has 567 divisors, whose sum is σ = 391237422363697. Its totient is φ = 40711095839232.

The previous prime is 126706721062423. The next prime is 126706721062469. The reversal of 126706721062464 is 464260127607621.

The square root of 126706721062464 is 11256408.

It is a perfect power (a square), and thus also a powerful number.

126706721062464 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 0 + 6 + 7 + 2 + 1 + 0 + 624 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66441931020864 + 60264790041600 = 8151192^2 + 7763040^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126706721062464.

It is not an unprimeable number, because it can be changed into a prime (126706721062469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 211530418837 + ... + 211530419435.

Almost surely, 2^{126706721062464} is an apocalyptic number.

126706721062464 is the 11256408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126706721062464

126706721062464 is an abundant number, since it is smaller than the sum of its proper divisors (264530701301233).

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

126706721062464 is an frugal number, since it uses more digits than its factorization.

126706721062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 126706721062464 in words is "one hundred twenty-six trillion, seven hundred six billion, seven hundred twenty-one million, sixty-two thousand, four hundred sixty-four".