125647563024 has 135 divisors (see below), whose sum is σ = 356208710949. Its totient is φ = 41345147520.

The previous prime is 125647563001. The next prime is 125647563037. The reversal of 125647563024 is 420365746521.

The square root of 125647563024 is 354468.

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

125647563024 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 7 + 5 + 630 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87575748624 + 38071814400 = 295932^2 + 195120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 463644009 + ... + 463644279.

Almost surely, 2^125647563024 is an apocalyptic number.

125647563024 is the 354468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125647563024

125647563024 is an abundant number, since it is smaller than the sum of its proper divisors (230561147925).

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

125647563024 is an equidigital number, since it uses as much as digits as its factorization.

125647563024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 125647563024 in words is "one hundred twenty-five billion, six hundred forty-seven million, five hundred sixty-three thousand, twenty-four".