825634137216 has 256 divisors, whose sum is σ = 2551919166720. Its totient is φ = 231623884800.

The previous prime is 825634137199. The next prime is 825634137241. The reversal of 825634137216 is 612731436528.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101164176 + ... + 101172336.

It is an arithmetic number, because the mean of its divisors is an integer number (9968434245).

Almost surely, 2^825634137216 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 825634137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275959583360).

825634137216 is an abundant number, since it is smaller than the sum of its proper divisors (1726285029504).

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

825634137216 is a wasteful number, since it uses less digits than its factorization.

825634137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8851 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 825634137216 in words is "eight hundred twenty-five billion, six hundred thirty-four million, one hundred thirty-seven thousand, two hundred sixteen".