845997152 has 216 divisors, whose sum is σ = 2300136048. Its totient is φ = 304254720.

The previous prime is 845997151. The next prime is 845997167. The reversal of 845997152 is 251799548.

It is a super-2 number, since 2×845997152² = 1431422362384222208, which contains 22 as substring.

Its product of digits (907200) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 845997152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845997151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 65076698 + ... + 65076710.

It is an arithmetic number, because the mean of its divisors is an integer number (10648778).

Almost surely, 2^845997152 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 845997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150068024).

845997152 is an abundant number, since it is smaller than the sum of its proper divisors (1454138896).

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

845997152 is an equidigital number, since it uses as much as digits as its factorization.

845997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its digits is 907200, while the sum is 50.

The square root of 845997152 is about 29086.0301863283. The cubic root of 845997152 is about 945.7789279700.

The spelling of 845997152 in words is "eight hundred forty-five million, nine hundred ninety-seven thousand, one hundred fifty-two".