845016384 has 112 divisors (see below), whose sum is σ = 2362809600. Its totient is φ = 266090496.

The previous prime is 845016329. The next prime is 845016407. The reversal of 845016384 is 483610548.

845016384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×845016384³ (a number of 28 digits) contains 333 as substring.

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, 260082 + ... + 263310.

Almost surely, 2^845016384 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 845016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181404800).

845016384 is an abundant number, since it is smaller than the sum of its proper divisors (1517793216).

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

845016384 is a wasteful number, since it uses less digits than its factorization.

845016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 845016384 is about 29069.1655194985. The cubic root of 845016384 is about 945.4133048355.

The spelling of 845016384 in words is "eight hundred forty-five million, sixteen thousand, three hundred eighty-four".