852492123024 has 160 divisors (see below), whose sum is σ = 2440014971904. Its totient is φ = 255275089920.

The previous prime is 852492123001. The next prime is 852492123047. The reversal of 852492123024 is 420321294258.

It is a Cunningham number, because it is equal to 923305²-1.

It is an interprime number because it is at equal distance from previous prime (852492123001) and next prime (852492123047).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615782 + ... + 2077434.

Almost surely, 2^852492123024 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 852492123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220007485952).

852492123024 is an abundant number, since it is smaller than the sum of its proper divisors (1587522848880).

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

852492123024 is a wasteful number, since it uses less digits than its factorization.

852492123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461785 (or 461779 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 852492123024 in words is "eight hundred fifty-two billion, four hundred ninety-two million, one hundred twenty-three thousand, twenty-four".