825451610112 has 368 divisors, whose sum is σ = 2524635162720. Its totient is φ = 266355081216.

The previous prime is 825451610107. The next prime is 825451610167. The reversal of 825451610112 is 211016154528.

825451610112 is a `hidden beast` number, since 8 + 2 + 545 + 1 + 6 + 101 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 4190109598 + ... + 4190109794.

Almost surely, 2^825451610112 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 825451610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262317581360).

825451610112 is an abundant number, since it is smaller than the sum of its proper divisors (1699183552608).

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

825451610112 is an frugal number, since it uses more digits than its factorization.

825451610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

It can be divided in two parts, 8254516 and 10112, that added together give a palindrome (8264628).

The spelling of 825451610112 in words is "eight hundred twenty-five billion, four hundred fifty-one million, six hundred ten thousand, one hundred twelve".