825433066248 has 128 divisors (see below), whose sum is σ = 2496375936000. Its totient is φ = 222177150720.

The previous prime is 825433066219. The next prime is 825433066291. The reversal of 825433066248 is 842660334528.

It is a self number, because there is not a number n which added to its sum of digits gives 825433066248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150963 + ... + 1293698.

It is an arithmetic number, because the mean of its divisors is an integer number (19502937000).

Almost surely, 2^825433066248 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 825433066248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248187968000).

825433066248 is an abundant number, since it is smaller than the sum of its proper divisors (1670942869752).

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

825433066248 is a wasteful number, since it uses less digits than its factorization.

825433066248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444875 (or 1444871 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 825433066248 in words is "eight hundred twenty-five billion, four hundred thirty-three million, sixty-six thousand, two hundred forty-eight".