825374193114 has 64 divisors (see below), whose sum is σ = 1764026449920. Its totient is φ = 256712040000.

The previous prime is 825374193113. The next prime is 825374193179. The reversal of 825374193114 is 411391473528.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825374193113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011519 + ... + 2386829.

It is an arithmetic number, because the mean of its divisors is an integer number (27562913280).

Almost surely, 2^825374193114 is an apocalyptic number.

825374193114 is an abundant number, since it is smaller than the sum of its proper divisors (938652256806).

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

825374193114 is a wasteful number, since it uses less digits than its factorization.

825374193114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375627.

The product of its digits is 725760, while the sum is 48.

The spelling of 825374193114 in words is "eight hundred twenty-five billion, three hundred seventy-four million, one hundred ninety-three thousand, one hundred fourteen".