825661189248 has 192 divisors, whose sum is σ = 2662154320320. Its totient is φ = 225646417920.

The previous prime is 825661189237. The next prime is 825661189259. The reversal of 825661189248 is 842981166528.

It is an interprime number because it is at equal distance from previous prime (825661189237) and next prime (825661189259).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 825661189191 and 825661189200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521163 + ... + 1386698.

It is an arithmetic number, because the mean of its divisors is an integer number (13865387085).

Almost surely, 2^825661189248 is an apocalyptic number.

It is an amenable number.

825661189248 is an abundant number, since it is smaller than the sum of its proper divisors (1836493131072).

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

825661189248 is a wasteful number, since it uses less digits than its factorization.

825661189248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907915 (or 1907896 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The spelling of 825661189248 in words is "eight hundred twenty-five billion, six hundred sixty-one million, one hundred eighty-nine thousand, two hundred forty-eight".