825107145416 has 64 divisors (see below), whose sum is σ = 1638191520000. Its totient is φ = 388521182016.

The previous prime is 825107145409. The next prime is 825107145419. The reversal of 825107145416 is 614541701528.

It is not an unprimeable number, because it can be changed into a prime (825107145419) 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 15 ways as a sum of consecutive naturals, for example, 18000815 + ... + 18046593.

It is an arithmetic number, because the mean of its divisors is an integer number (25596742500).

Almost surely, 2^825107145416 is an apocalyptic number.

It is an amenable number.

825107145416 is a deficient number, since it is larger than the sum of its proper divisors (813084374584).

825107145416 is a wasteful number, since it uses less digits than its factorization.

825107145416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46506 (or 46502 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 825107145416 in words is "eight hundred twenty-five billion, one hundred seven million, one hundred forty-five thousand, four hundred sixteen".