825763188448 has 48 divisors (see below), whose sum is σ = 1830724277760. Its totient is φ = 363238934400.

The previous prime is 825763188421. The next prime is 825763188449. The reversal of 825763188448 is 844881367528.

It is a self number, because there is not a number n which added to its sum of digits gives 825763188448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825763188449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37826478 + ... + 37848301.

It is an arithmetic number, because the mean of its divisors is an integer number (38140089120).

Almost surely, 2^825763188448 is an apocalyptic number.

825763188448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

825763188448 is an abundant number, since it is smaller than the sum of its proper divisors (1004961089312).

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

825763188448 is a wasteful number, since it uses less digits than its factorization.

825763188448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75674831 (or 75674823 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 64.

The spelling of 825763188448 in words is "eight hundred twenty-five billion, seven hundred sixty-three million, one hundred eighty-eight thousand, four hundred forty-eight".