725648785641 has 48 divisors (see below), whose sum is σ = 1131391252992. Its totient is φ = 445524105600.

The previous prime is 725648785637. The next prime is 725648785643. The reversal of 725648785641 is 146587846527.

725648785641 is a `hidden beast` number, since 7 + 2 + 5 + 64 + 8 + 7 + 8 + 564 + 1 = 666.

It is not a de Polignac number, because 725648785641 - 2² = 725648785637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725648785643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107008671 + ... + 107015451.

It is an arithmetic number, because the mean of its divisors is an integer number (23570651104).

Almost surely, 2^725648785641 is an apocalyptic number.

It is an amenable number.

725648785641 is a deficient number, since it is larger than the sum of its proper divisors (405742467351).

725648785641 is a wasteful number, since it uses less digits than its factorization.

725648785641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8771 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 725648785641 in words is "seven hundred twenty-five billion, six hundred forty-eight million, seven hundred eighty-five thousand, six hundred forty-one".