825774618368 has 144 divisors (see below), whose sum is σ = 1950947308800. Its totient is φ = 348618783744.

The previous prime is 825774618349. The next prime is 825774618379. The reversal of 825774618368 is 863816477528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5812955 + ... + 5953317.

It is an arithmetic number, because the mean of its divisors is an integer number (13548245200).

Almost surely, 2^825774618368 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 825774618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975473654400).

825774618368 is an abundant number, since it is smaller than the sum of its proper divisors (1125172690432).

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

825774618368 is an equidigital number, since it uses as much as digits as its factorization.

825774618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140467 (or 140439 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 65.

The spelling of 825774618368 in words is "eight hundred twenty-five billion, seven hundred seventy-four million, six hundred eighteen thousand, three hundred sixty-eight".