999146852352 has 416 divisors, whose sum is σ = 3419193375360. Its totient is φ = 284955770880.

The previous prime is 999146852311. The next prime is 999146852387. The reversal of 999146852352 is 253258641999.

999146852352 is a `hidden beast` number, since 9 + 9 + 91 + 468 + 52 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 999146852352.

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, 20656548 + ... + 20704860.

Almost surely, 2^999146852352 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 999146852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709596687680).

999146852352 is an abundant number, since it is smaller than the sum of its proper divisors (2420046523008).

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

999146852352 is a wasteful number, since it uses less digits than its factorization.

999146852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48374 (or 48346 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 999146852352 in words is "nine hundred ninety-nine billion, one hundred forty-six million, eight hundred fifty-two thousand, three hundred fifty-two".