825104141456 has 80 divisors (see below), whose sum is σ = 1839071577600. Its totient is φ = 351287967744.

The previous prime is 825104141441. The next prime is 825104141483. The reversal of 825104141456 is 654141401528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15515360 + ... + 15568448.

It is an arithmetic number, because the mean of its divisors is an integer number (22988394720).

Almost surely, 2^825104141456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825104141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919535788800).

825104141456 is an abundant number, since it is smaller than the sum of its proper divisors (1013967436144).

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

825104141456 is a wasteful number, since it uses less digits than its factorization.

825104141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54016 (or 54010 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 825104141456 in words is "eight hundred twenty-five billion, one hundred four million, one hundred forty-one thousand, four hundred fifty-six".