124767447904225 has 81 divisors (see below), whose sum is σ = 191190108604107. Its totient is φ = 80517895610880.

The previous prime is 124767447904201. The next prime is 124767447904261. The reversal of 124767447904225 is 522409744767421.

The square root of 124767447904225 is 11169935.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1919308222881 + 122848139681344 = 1385391^2 + 11083688^2 .

It is not a de Polignac number, because 124767447904225 - 2⁴¹ = 122568424648673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6646101939 + ... + 6646120711.

Almost surely, 2^{124767447904225} is an apocalyptic number.

124767447904225 is the 11169935-th square number.

124767447904225 is the 5584968-th centered octagonal number.

It is an amenable number.

124767447904225 is a deficient number, since it is larger than the sum of its proper divisors (66422660699882).

124767447904225 is an frugal number, since it uses more digits than its factorization.

124767447904225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37604 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 64.

The spelling of 124767447904225 in words is "one hundred twenty-four trillion, seven hundred sixty-seven billion, four hundred forty-seven million, nine hundred four thousand, two hundred twenty-five".